105055610500350 has 48 divisors (see below), whose sum is σ = 289486571160240. Its totient is φ = 28014829466400.

The previous prime is 105055610500301. The next prime is 105055610500361. The reversal of 105055610500350 is 53005016550501.

105055610500350 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 5 + 610 + 5 + 0 + 0 + 35 + 0 = 666.

It is a super-2 number, since 2×105055610500350² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38909484021 + ... + 38909486720.

It is an arithmetic number, because the mean of its divisors is an integer number (6030970232505).

Almost surely, 2^{105055610500350} is an apocalyptic number.

105055610500350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105055610500350 is an abundant number, since it is smaller than the sum of its proper divisors (184430960659890).

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

105055610500350 is a wasteful number, since it uses less digits than its factorization.

105055610500350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77818970762 (or 77818970751 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 105055610500350 in words is "one hundred five trillion, fifty-five billion, six hundred ten million, five hundred thousand, three hundred fifty".