107652234816 has 735 divisors, whose sum is σ = 386087943723. Its totient is φ = 29765594880.

The previous prime is 107652234803. The next prime is 107652234853. The reversal of 107652234816 is 618432256701.

The square root of 107652234816 is 328104.

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

107652234816 is a `hidden beast` number, since 1 + 0 + 76 + 522 + 3 + 48 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 3472652721 + ... + 3472652751.

Almost surely, 2^107652234816 is an apocalyptic number.

107652234816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107652234816 is the 328104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107652234816

107652234816 is an abundant number, since it is smaller than the sum of its proper divisors (278435708907).

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

107652234816 is an frugal number, since it uses more digits than its factorization.

107652234816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 107652234816 in words is "one hundred seven billion, six hundred fifty-two million, two hundred thirty-four thousand, eight hundred sixteen".