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104623107300 = 22345212916433
BaseRepresentation
bin110000101110000000…
…1011110110011100100
3101000001100211112020000
41201130001132303210
53203232003413200
6120021352141300
710362441511305
oct1413401366344
9330040745200
10104623107300
1140409020038
121833a097830
139b3455a5aa
1450c70547ac
152ac5044300
hex185c05ece4

104623107300 has 90 divisors (see below), whose sum is σ = 339146807538. Its totient is φ = 27899493120.

The previous prime is 104623107299. The next prime is 104623107343. The reversal of 104623107300 is 3701326401.

104623107300 is a `hidden beast` number, since 1 + 0 + 4 + 623 + 1 + 0 + 7 + 30 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 148060224 + 104475047076 = 12168^2 + 323226^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×1046231073002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6450117 + ... + 6466316.

Almost surely, 2104623107300 is an apocalyptic number.

104623107300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104623107300 is an abundant number, since it is smaller than the sum of its proper divisors (234523700238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104623107300 is a wasteful number, since it uses less digits than its factorization.

104623107300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916459 (or 12916443 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 104623107300 in words is "one hundred four billion, six hundred twenty-three million, one hundred seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 12916433 25832866 38749299 51665732 64582165 77498598 116247897 129164330 154997196 193746495 232495794 258328660 322910825 348743691 387492990 464991588 581239485 645821650 697487382 774985980 968732475 1046231073 1162478970 1291643300 1394974764 1743718455 1937464950 2092462146 2324957940 2906197425 3487436910 3874929900 4184924292 5231155365 5812394850 6974873820 8718592275 10462310730 11624789700 17437184550 20924621460 26155776825 34874369100 52311553650 104623107300