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105503255232 = 263821669301
BaseRepresentation
bin110001001000001111…
…0111110101011000000
3101002022200222200012120
41202100132332223000
53212032313131412
6120244552524240
710423316605254
oct1422036765300
9332280880176
10105503255232
114081a923221
12185449b0680
139c449c2c9b
14516bcc4264
152b2744db8c
hex18907beac0

105503255232 has 56 divisors (see below), whose sum is σ = 279484451952. Its totient is φ = 35124864000.

The previous prime is 105503255189. The next prime is 105503255251. The reversal of 105503255232 is 232552305501.

105503255232 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1055032552322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105503255193 and 105503255202.

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 7 ways as a sum of consecutive naturals, for example, 177019 + ... + 492282.

Almost surely, 2105503255232 is an apocalyptic number.

105503255232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105503255232 is an abundant number, since it is smaller than the sum of its proper divisors (173981196720).

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

105503255232 is an equidigital number, since it uses as much as digits as its factorization.

105503255232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670137 (or 670127 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 105503255232 in words is "one hundred five billion, five hundred three million, two hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 821 1642 2463 3284 4926 6568 9852 13136 19704 26272 39408 52544 78816 157632 669301 1338602 2007903 2677204 4015806 5354408 8031612 10708816 16063224 21417632 32126448 42835264 64252896 128505792 549496121 1098992242 1648488363 2197984484 3296976726 4395968968 6593953452 8791937936 13187906904 17583875872 26375813808 35167751744 52751627616 105503255232