105342465032 has 64 divisors (see below), whose sum is σ = 226474444800. Its totient is φ = 44998873920.

The previous prime is 105342465017. The next prime is 105342465049. The reversal of 105342465032 is 230564243501.

It is a super-2 number, since 2×105342465032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105342464983 and 105342465001.

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, 48343319 + ... + 48345497.

It is an arithmetic number, because the mean of its divisors is an integer number (3538663200).

Almost surely, 2^105342465032 is an apocalyptic number.

It is an amenable number.

105342465032 is an abundant number, since it is smaller than the sum of its proper divisors (121131979768).

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

105342465032 is a wasteful number, since it uses less digits than its factorization.

105342465032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 105342465032 in words is "one hundred five billion, three hundred forty-two million, four hundred sixty-five thousand, thirty-two".