10197451600 has 240 divisors, whose sum is σ = 28943290368. Its totient is φ = 3379691520.

The previous prime is 10197451573. The next prime is 10197451619. The reversal of 10197451600 is 615479101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26625009 + ... + 26625391.

Almost surely, 2^10197451600 is an apocalyptic number.

10197451600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10197451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471645184).

10197451600 is an abundant number, since it is smaller than the sum of its proper divisors (18745838768).

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

10197451600 is a wasteful number, since it uses less digits than its factorization.

10197451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 10197451600 in words is "ten billion, one hundred ninety-seven million, four hundred fifty-one thousand, six hundred".