105617543004376 has 32 divisors (see below), whose sum is σ = 213293880344160. Its totient is φ = 48740229683712.

The previous prime is 105617543004299. The next prime is 105617543004431. The reversal of 105617543004376 is 673400345716501.

It is a super-2 number, since 2×105617543004376² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65118225 + ... + 66720448.

It is an arithmetic number, because the mean of its divisors is an integer number (6665433760755).

Almost surely, 2^{105617543004376} is an apocalyptic number.

It is an amenable number.

105617543004376 is an abundant number, since it is smaller than the sum of its proper divisors (107676337339784).

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

105617543004376 is a wasteful number, since it uses less digits than its factorization.

105617543004376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131846395 (or 131846391 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 105617543004376 in words is "one hundred five trillion, six hundred seventeen billion, five hundred forty-three million, four thousand, three hundred seventy-six".