106896616602724 has 81 divisors (see below), whose sum is σ = 203784013306881. Its totient is φ = 49064320412640.

The previous prime is 106896616602697. The next prime is 106896616602791. The reversal of 106896616602724 is 427206616698601.

The square root of 106896616602724 is 10339082.

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

It can be written as a sum of positive squares in 13 ways, for example, as 105524626060324 + 1371990542400 = 10272518^2 + 1171320^2 .

It is a super-2 number, since 2×106896616602724² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 590589041914 + ... + 590589042094.

Almost surely, 2^{106896616602724} is an apocalyptic number.

106896616602724 is the 10339082-nd square number.

It is an amenable number.

106896616602724 is a deficient number, since it is larger than the sum of its proper divisors (96887396704157).

106896616602724 is an frugal number, since it uses more digits than its factorization.

106896616602724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

The spelling of 106896616602724 in words is "one hundred six trillion, eight hundred ninety-six billion, six hundred sixteen million, six hundred two thousand, seven hundred twenty-four".