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105297109376 = 27839911249
BaseRepresentation
bin110001000010000110…
…0100110000110000000
3101001210100002101020212
41202010030212012000
53211122030000001
6120212310253252
710415234443034
oct1420414460600
9331710071225
10105297109376
1140724522848
12184a7957228
139c110964a4
14514c7821c4
152b142cd7bb
hex1884326180

105297109376 has 32 divisors (see below), whose sum is σ = 212298975000. Its totient is φ = 52014229504.

The previous prime is 105297109369. The next prime is 105297109417. The reversal of 105297109376 is 673901792501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1052971093762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4945001 + ... + 4966248.

Almost surely, 2105297109376 is an apocalyptic number.

105297109376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105297109376 is an abundant number, since it is smaller than the sum of its proper divisors (107001865624).

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

105297109376 is an frugal number, since it uses more digits than its factorization.

105297109376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9911346 (or 9911334 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 50.

The spelling of 105297109376 in words is "one hundred five billion, two hundred ninety-seven million, one hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 2656 5312 10624 9911249 19822498 39644996 79289992 158579984 317159968 634319936 822633667 1268639872 1645267334 3290534668 6581069336 13162138672 26324277344 52648554688 105297109376