100153774080 has 208 divisors, whose sum is σ = 356060804160. Its totient is φ = 26707525632.

The previous prime is 100153774079. The next prime is 100153774099. The reversal of 100153774080 is 80477351001.

100153774080 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 537 + 7 + 40 + 80 = 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 15 ways as a sum of consecutive naturals, for example, 462399 + ... + 643521.

Almost surely, 2^100153774080 is an apocalyptic number.

100153774080 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 100153774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178030402080).

100153774080 is an abundant number, since it is smaller than the sum of its proper divisors (255907030080).

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

100153774080 is an equidigital number, since it uses as much as digits as its factorization.

100153774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181161 (or 181133 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 100153774080 in words is "one hundred billion, one hundred fifty-three million, seven hundred seventy-four thousand, eighty".