105584000712 has 32 divisors (see below), whose sum is σ = 263967984000. Its totient is φ = 35193602624.

The previous prime is 105584000701. The next prime is 105584000723. The reversal of 105584000712 is 217000485501.

It is an interprime number because it is at equal distance from previous prime (105584000701) and next prime (105584000723).

It is a super-2 number, since 2×105584000712² (a number of 23 digits) contains 22 as substring.

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, 1439914 + ... + 1511462.

It is an arithmetic number, because the mean of its divisors is an integer number (8248999500).

Almost surely, 2^105584000712 is an apocalyptic number.

105584000712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105584000712 is an abundant number, since it is smaller than the sum of its proper divisors (158383983288).

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

105584000712 is a wasteful number, since it uses less digits than its factorization.

105584000712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133045 (or 133041 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 105584000712 in words is "one hundred five billion, five hundred eighty-four million, seven hundred twelve", and thus it is an aban number.