107972600064 has 288 divisors, whose sum is σ = 335133716736. Its totient is φ = 30222581760.

The previous prime is 107972600059. The next prime is 107972600107. The reversal of 107972600064 is 460006279701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 107972599989 and 107972600025.

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 31 ways as a sum of consecutive naturals, for example, 110513944 + ... + 110514920.

Almost surely, 2^107972600064 is an apocalyptic number.

107972600064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107972600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167566858368).

107972600064 is an abundant number, since it is smaller than the sum of its proper divisors (227161116672).

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

107972600064 is an equidigital number, since it uses as much as digits as its factorization.

107972600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

Adding to 107972600064 its reverse (460006279701), we get a palindrome (567978879765).

The spelling of 107972600064 in words is "one hundred seven billion, nine hundred seventy-two million, six hundred thousand, sixty-four".