97200103680 has 180 divisors, whose sum is σ = 347800116972. Its totient is φ = 25920000000.

The previous prime is 97200103667. The next prime is 97200103699. The reversal of 97200103680 is 8630100279.

97200103680 is a `hidden beast` number, since 97 + 200 + 1 + 0 + 368 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10989748224 + 86210355456 = 104832^2 + 293616^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 365071 + ... + 572430.

Almost surely, 2^97200103680 is an apocalyptic number.

97200103680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97200103680 is an abundant number, since it is smaller than the sum of its proper divisors (250600013292).

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

97200103680 is an equidigital number, since it uses as much as digits as its factorization.

97200103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937534 (or 937511 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

It can be divided in two parts, 97200 and 103680, that multiplied together give a cube (10077696000 = 2160³).

The spelling of 97200103680 in words is "ninety-seven billion, two hundred million, one hundred three thousand, six hundred eighty".