105007412976 has 40 divisors (see below), whose sum is σ = 274985175120. Its totient is φ = 34522983936.

The previous prime is 105007412957. The next prime is 105007413001. The reversal of 105007412976 is 679214700501.

It is a happy number.

It is a super-2 number, since 2×105007412976² (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, 14980431 + ... + 14987438.

It is an arithmetic number, because the mean of its divisors is an integer number (6874629378).

Almost surely, 2^105007412976 is an apocalyptic number.

105007412976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105007412976 is an abundant number, since it is smaller than the sum of its proper divisors (169977762144).

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

105007412976 is a wasteful number, since it uses less digits than its factorization.

105007412976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29967953 (or 29967947 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 105007412976 in words is "one hundred five billion, seven million, four hundred twelve thousand, nine hundred seventy-six".