10195434900 has 576 divisors, whose sum is σ = 38955840000. Its totient is φ = 2286144000.

The previous prime is 10195434883. The next prime is 10195434911. The reversal of 10195434900 is 943459101.

It is a happy number.

10195434900 is a `hidden beast` number, since 10 + 19 + 543 + 4 + 90 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93536046 + ... + 93536154.

Almost surely, 2^10195434900 is an apocalyptic number.

10195434900 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 10195434900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477920000).

10195434900 is an abundant number, since it is smaller than the sum of its proper divisors (28760405100).

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

10195434900 is a wasteful number, since it uses less digits than its factorization.

10195434900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10195434900 in words is "ten billion, one hundred ninety-five million, four hundred thirty-four thousand, nine hundred".