105162422532 has 96 divisors (see below), whose sum is σ = 256230266880. Its totient is φ = 33537525120.

The previous prime is 105162422527. The next prime is 105162422567. The reversal of 105162422532 is 235224261501.

It is a happy number.

It is a super-2 number, since 2×105162422532² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105162422493 and 105162422502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18411157 + ... + 18416867.

It is an arithmetic number, because the mean of its divisors is an integer number (2669065280).

Almost surely, 2^105162422532 is an apocalyptic number.

105162422532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105162422532 is an abundant number, since it is smaller than the sum of its proper divisors (151067844348).

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

105162422532 is a wasteful number, since it uses less digits than its factorization.

105162422532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6441 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 105162422532 in words is "one hundred five billion, one hundred sixty-two million, four hundred twenty-two thousand, five hundred thirty-two".