105390165101124 has 48 divisors (see below), whose sum is σ = 258863548204800. Its totient is φ = 33279753339936.

The previous prime is 105390165101101. The next prime is 105390165101131. The reversal of 105390165101124 is 421101561093501.

It is a super-2 number, since 2×105390165101124² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3750342 + ... + 14994845.

It is an arithmetic number, because the mean of its divisors is an integer number (5392990587600).

Almost surely, 2^{105390165101124} is an apocalyptic number.

It is an amenable number.

105390165101124 is an abundant number, since it is smaller than the sum of its proper divisors (153473383103676).

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

105390165101124 is a wasteful number, since it uses less digits than its factorization.

105390165101124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18769872 (or 18769870 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 105390165101124 in words is "one hundred five trillion, three hundred ninety billion, one hundred sixty-five million, one hundred one thousand, one hundred twenty-four".