97628034876100 has 27 divisors (see below), whose sum is σ = 211853050092327. Its totient is φ = 39051174427680.

The previous prime is 97628034876023. The next prime is 97628034876103. The reversal of 97628034876100 is 167843082679.

It is a happy number.

The square root of 97628034876100 is 9880690.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14737352833476 + 82890682042624 = 3838926^2 + 9104432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97628034876103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98312866 + ... + 99300934.

Almost surely, 2^{97628034876100} is an apocalyptic number.

97628034876100 is the 9880690-th square number.

It is an amenable number.

97628034876100 is an abundant number, since it is smaller than the sum of its proper divisors (114225015216227).

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

97628034876100 is an frugal number, since it uses more digits than its factorization.

97628034876100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976152 (or 988076 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 61.

The spelling of 97628034876100 in words is "ninety-seven trillion, six hundred twenty-eight billion, thirty-four million, eight hundred seventy-six thousand, one hundred".