100470264160 has 192 divisors, whose sum is σ = 286673748480. Its totient is φ = 32505200640.

The previous prime is 100470264149. The next prime is 100470264161. The reversal of 100470264160 is 61462074001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100470264161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5459775 + ... + 5478145.

It is an arithmetic number, because the mean of its divisors is an integer number (1493092440).

Almost surely, 2^100470264160 is an apocalyptic number.

100470264160 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 100470264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143336874240).

100470264160 is an abundant number, since it is smaller than the sum of its proper divisors (186203484320).

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

100470264160 is a wasteful number, since it uses less digits than its factorization.

100470264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18669 (or 18661 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 100470264160 in words is "one hundred billion, four hundred seventy million, two hundred sixty-four thousand, one hundred sixty".