105610051110500 has 48 divisors (see below), whose sum is σ = 230740356148848. Its totient is φ = 42227902400000.

The previous prime is 105610051110437. The next prime is 105610051110581. The reversal of 105610051110500 is 5011150016501.

It can be written as a sum of positive squares in 8 ways, for example, as 11305908605476 + 94304142505024 = 3362426^2 + 9711032^2 .

It is a super-2 number, since 2×105610051110500² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105610051110500.

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 15 ways as a sum of consecutive naturals, for example, 38983301 + ... + 41604300.

It is an arithmetic number, because the mean of its divisors is an integer number (4807090753101).

Almost surely, 2^{105610051110500} is an apocalyptic number.

105610051110500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105610051110500 is an abundant number, since it is smaller than the sum of its proper divisors (125130305038348).

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

105610051110500 is a wasteful number, since it uses less digits than its factorization.

105610051110500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80590241 (or 80590229 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 105610051110500 in words is "one hundred five trillion, six hundred ten billion, fifty-one million, one hundred ten thousand, five hundred".