107955367968 has 96 divisors (see below), whose sum is σ = 340911728640. Its totient is φ = 29220998400.

The previous prime is 107955367931. The next prime is 107955367969. The reversal of 107955367968 is 869763559701.

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

It is a super-2 number, since 2×107955367968² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107955367899 and 107955367908.

It is not an unprimeable number, because it can be changed into a prime (107955367969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4214808 + ... + 4240343.

It is an arithmetic number, because the mean of its divisors is an integer number (3551163840).

Almost surely, 2^107955367968 is an apocalyptic number.

It is an amenable number.

107955367968 is an abundant number, since it is smaller than the sum of its proper divisors (232956360672).

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

107955367968 is a wasteful number, since it uses less digits than its factorization.

107955367968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455190 (or 8455182 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 66.

The spelling of 107955367968 in words is "one hundred seven billion, nine hundred fifty-five million, three hundred sixty-seven thousand, nine hundred sixty-eight".