107139888705600 has 189 divisors, whose sum is σ = 380804876148567. Its totient is φ = 28570305761280.

The previous prime is 107139888705539. The next prime is 107139888705613. The reversal of 107139888705600 is 6507888931701.

The square root of 107139888705600 is 10350840.

It is a perfect power (a square), and thus also a powerful number.

107139888705600 is a `hidden beast` number, since 1 + 0 + 7 + 13 + 9 + 8 + 8 + 8 + 7 + 0 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59984529321024 + 47155359384576 = 7744968^2 + 6866976^2 .

It is a super-2 number, since 2×107139888705600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1242057672 + ... + 1242143928.

Almost surely, 2^{107139888705600} is an apocalyptic number.

107139888705600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107139888705600 is the 10350840-th square number.

It is an amenable number.

107139888705600 is an abundant number, since it is smaller than the sum of its proper divisors (273664987442967).

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

107139888705600 is an frugal number, since it uses more digits than its factorization.

107139888705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172542 (or 86267 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 107139888705600 in words is "one hundred seven trillion, one hundred thirty-nine billion, eight hundred eighty-eight million, seven hundred five thousand, six hundred".