107168497956 has 135 divisors (see below), whose sum is σ = 303585113601. Its totient is φ = 32951352096.

The previous prime is 107168497949. The next prime is 107168498027. The reversal of 107168497956 is 659794861701.

The square root of 107168497956 is 327366.

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

107168497956 is a `hidden beast` number, since 10 + 71 + 68 + 497 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15853328100 + 91315169856 = 125910^2 + 302184^2 .

It is a super-2 number, since 2×107168497956² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107168497893 and 107168497902.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 76602945 + ... + 76604343.

Almost surely, 2^107168497956 is an apocalyptic number.

107168497956 is the 327366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107168497956

107168497956 is an abundant number, since it is smaller than the sum of its proper divisors (196416615645).

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

107168497956 is an equidigital number, since it uses as much as digits as its factorization.

107168497956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 107168497956 in words is "one hundred seven billion, one hundred sixty-eight million, four hundred ninety-seven thousand, nine hundred fifty-six".