10147140900 has 216 divisors, whose sum is σ = 34609224104. Its totient is φ = 2471731200.

The previous prime is 10147140889. The next prime is 10147140923. The reversal of 10147140900 is 904174101.

10147140900 is a `hidden beast` number, since 101 + 471 + 4 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3956913216 + 6190227684 = 62904^2 + 78678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1130430 + ... + 1139370.

Almost surely, 2^10147140900 is an apocalyptic number.

10147140900 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 10147140900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17304612052).

10147140900 is an abundant number, since it is smaller than the sum of its proper divisors (24462083204).

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

10147140900 is a wasteful number, since it uses less digits than its factorization.

10147140900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9071 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10147140900 in words is "ten billion, one hundred forty-seven million, one hundred forty thousand, nine hundred".