10195820400 has 60 divisors (see below), whose sum is σ = 32660615192. Its totient is φ = 2718885120.

The previous prime is 10195820389. The next prime is 10195820407. The reversal of 10195820400 is 402859101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10195820407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4247059 + ... + 4249458.

Almost surely, 2^10195820400 is an apocalyptic number.

10195820400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10195820400 is an abundant number, since it is smaller than the sum of its proper divisors (22464794792).

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

10195820400 is a wasteful number, since it uses less digits than its factorization.

10195820400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496538 (or 8496527 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 10195820400 in words is "ten billion, one hundred ninety-five million, eight hundred twenty thousand, four hundred".