91252357812100 has 27 divisors (see below), whose sum is σ = 198017823744111. Its totient is φ = 36500904914400.

The previous prime is 91252357812073. The next prime is 91252357812107. The reversal of 91252357812100 is 121875325219.

The square root of 91252357812100 is 9552610.

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 3207014782596 + 88045343029504 = 1790814^2 + 9383248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91252357812107) 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, 95048470 + ... + 96003730.

Almost surely, 2^{91252357812100} is an apocalyptic number.

91252357812100 is the 9552610-th square number.

It is an amenable number.

91252357812100 is an abundant number, since it is smaller than the sum of its proper divisors (106765465932011).

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

91252357812100 is an frugal number, since it uses more digits than its factorization.

91252357812100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910536 (or 955268 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 91252357812100 in words is "ninety-one trillion, two hundred fifty-two billion, three hundred fifty-seven million, eight hundred twelve thousand, one hundred".