105031864174040 has 16 divisors (see below), whose sum is σ = 236321694391680. Its totient is φ = 42012745669600.

The previous prime is 105031864173947. The next prime is 105031864174057. The reversal of 105031864174040 is 40471468130501.

It is a super-2 number, since 2×105031864174040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105031864173982 and 105031864174000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1312898302136 + ... + 1312898302215.

It is an arithmetic number, because the mean of its divisors is an integer number (14770105899480).

Almost surely, 2^{105031864174040} is an apocalyptic number.

105031864174040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105031864174040 is an abundant number, since it is smaller than the sum of its proper divisors (131289830217640).

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

105031864174040 is a wasteful number, since it uses less digits than its factorization.

105031864174040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625796604362 (or 2625796604358 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 105031864174040 in words is "one hundred five trillion, thirty-one billion, eight hundred sixty-four million, one hundred seventy-four thousand, forty".