100230878160 has 480 divisors, whose sum is σ = 389292583680. Its totient is φ = 22638182400.

The previous prime is 100230878159. The next prime is 100230878183. The reversal of 100230878160 is 61878032001.

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 95 ways as a sum of consecutive naturals, for example, 217420330 + ... + 217420790.

It is an arithmetic number, because the mean of its divisors is an integer number (811026216).

Almost surely, 2^100230878160 is an apocalyptic number.

100230878160 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 100230878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194646291840).

100230878160 is an abundant number, since it is smaller than the sum of its proper divisors (289061705520).

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

100230878160 is a wasteful number, since it uses less digits than its factorization.

100230878160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 100230878160 in words is "one hundred billion, two hundred thirty million, eight hundred seventy-eight thousand, one hundred sixty".