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106019496 = 23331144621
BaseRepresentation
bin1100101000110…
…11101010101000
321101111100102000
412110123222220
5204120110441
614304211000
72425102512
oct624335250
9241440360
10106019496
1154933020
122b609a60
1318c7063b
141011abb2
1594932b6
hex651baa8

106019496 has 64 divisors (see below), whose sum is σ = 321278400. Its totient is φ = 32126400.

The previous prime is 106019471. The next prime is 106019509. The reversal of 106019496 is 694910601.

106019496 is a `hidden beast` number, since 1 + 0 + 601 + 9 + 49 + 6 = 666.

It is a super-2 number, since 2×1060194962 = 22480267064188032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106019496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19935 + ... + 24686.

It is an arithmetic number, because the mean of its divisors is an integer number (5019975).

Almost surely, 2106019496 is an apocalyptic number.

It is an amenable number.

106019496 is an abundant number, since it is smaller than the sum of its proper divisors (215258904).

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

106019496 is a wasteful number, since it uses less digits than its factorization.

106019496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44647 (or 44637 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 106019496 is about 10296.5769069143. The cubic root of 106019496 is about 473.2913621891.

The spelling of 106019496 in words is "one hundred six million, nineteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 44621 89242 133863 178484 267726 356968 401589 490831 535452 803178 981662 1070904 1204767 1472493 1606356 1963324 2409534 2944986 3212712 3926648 4417479 4819068 5889972 8834958 9638136 11779944 13252437 17669916 26504874 35339832 53009748 106019496