105732214560 has 144 divisors (see below), whose sum is σ = 412355676096. Its totient is φ = 24167361024.

The previous prime is 105732214537. The next prime is 105732214571. The reversal of 105732214560 is 65412237501.

105732214560 is a `hidden beast` number, since 1 + 0 + 5 + 73 + 2 + 21 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105732214560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5234574 + ... + 5254733.

It is an arithmetic number, because the mean of its divisors is an integer number (2863581084).

Almost surely, 2^105732214560 is an apocalyptic number.

105732214560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105732214560 is an abundant number, since it is smaller than the sum of its proper divisors (306623461536).

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

105732214560 is a wasteful number, since it uses less digits than its factorization.

105732214560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10489335 (or 10489324 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 105732214560 in words is "one hundred five billion, seven hundred thirty-two million, two hundred fourteen thousand, five hundred sixty".