105638910873600 has 624 divisors, whose sum is σ = 398262908417472. Its totient is φ = 24473795297280.

The previous prime is 105638910873553. The next prime is 105638910873641. The reversal of 105638910873600 is 6378019836501.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×105638910873600² (a number of 29 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67113199 + ... + 68669201.

Almost surely, 2^{105638910873600} is an apocalyptic number.

105638910873600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105638910873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199131454208736).

105638910873600 is an abundant number, since it is smaller than the sum of its proper divisors (292623997543872).

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

105638910873600 is a wasteful number, since it uses less digits than its factorization.

105638910873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556070 (or 1556043 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 105638910873600 in words is "one hundred five trillion, six hundred thirty-eight billion, nine hundred ten million, eight hundred seventy-three thousand, six hundred".