107725742656 has 63 divisors (see below), whose sum is σ = 248711647737. Its totient is φ = 46160298240.

The previous prime is 107725742633. The next prime is 107725742671. The reversal of 107725742656 is 656247527701.

The square root of 107725742656 is 328216.

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

It can be written as a sum of positive squares in only one way, i.e., 48657301056 + 59068441600 = 220584^2 + 243040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18377166 + ... + 18383026.

Almost surely, 2^107725742656 is an apocalyptic number.

107725742656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107725742656 is the 328216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107725742656

107725742656 is an abundant number, since it is smaller than the sum of its proper divisors (140985905081).

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

107725742656 is an frugal number, since it uses more digits than its factorization.

107725742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11748 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 52.

The spelling of 107725742656 in words is "one hundred seven billion, seven hundred twenty-five million, seven hundred forty-two thousand, six hundred fifty-six".