105728334972 has 48 divisors (see below), whose sum is σ = 267067379712. Its totient is φ = 32361462720.

The previous prime is 105728334893. The next prime is 105728334977. The reversal of 105728334972 is 279433827501.

It is a super-2 number, since 2×105728334972² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105728334977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1744408 + ... + 1803999.

It is an arithmetic number, because the mean of its divisors is an integer number (5563903744).

Almost surely, 2^105728334972 is an apocalyptic number.

105728334972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105728334972 is an abundant number, since it is smaller than the sum of its proper divisors (161339044740).

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

105728334972 is a wasteful number, since it uses less digits than its factorization.

105728334972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548618 (or 3548616 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 105728334972 in words is "one hundred five billion, seven hundred twenty-eight million, three hundred thirty-four thousand, nine hundred seventy-two".