107076399648 has 96 divisors (see below), whose sum is σ = 307209853440. Its totient is φ = 32508948480.

The previous prime is 107076399611. The next prime is 107076399653. The reversal of 107076399648 is 846993670701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107076399648² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107076399591 and 107076399600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007643 + ... + 1108826.

It is an arithmetic number, because the mean of its divisors is an integer number (3200102640).

Almost surely, 2^107076399648 is an apocalyptic number.

It is an amenable number.

107076399648 is an abundant number, since it is smaller than the sum of its proper divisors (200133453792).

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

107076399648 is a wasteful number, since it uses less digits than its factorization.

107076399648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116530 (or 2116522 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 107076399648 in words is "one hundred seven billion, seventy-six million, three hundred ninety-nine thousand, six hundred forty-eight".