105306326772 has 24 divisors (see below), whose sum is σ = 246769338816. Its totient is φ = 34951455168.

The previous prime is 105306326759. The next prime is 105306326789. The reversal of 105306326772 is 277623603501.

It is a super-2 number, since 2×105306326772² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18828808 + ... + 18834399.

It is an arithmetic number, because the mean of its divisors is an integer number (10282055784).

Almost surely, 2^105306326772 is an apocalyptic number.

105306326772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105306326772 is an abundant number, since it is smaller than the sum of its proper divisors (141463012044).

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

105306326772 is a wasteful number, since it uses less digits than its factorization.

105306326772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37663447 (or 37663445 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 105306326772 in words is "one hundred five billion, three hundred six million, three hundred twenty-six thousand, seven hundred seventy-two".