100151120 has 40 divisors (see below), whose sum is σ = 235672416. Its totient is φ = 39575168.

The previous prime is 100151099. The next prime is 100151137. The reversal of 100151120 is 21151001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 902 + ... + 14181.

Almost surely, 2^100151120 is an apocalyptic number.

100151120 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 100151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117836208).

100151120 is an abundant number, since it is smaller than the sum of its proper divisors (135521296).

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

100151120 is a wasteful number, since it uses less digits than its factorization.

100151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15179 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

The square root of 100151120 is about 10007.5531474981. The cubic root of 100151120 is about 464.3925779825.

The spelling of 100151120 in words is "one hundred million, one hundred fifty-one thousand, one hundred twenty".