100151064 has 96 divisors (see below), whose sum is σ = 296652720. Its totient is φ = 30336768.

The previous prime is 100151059. The next prime is 100151083. The reversal of 100151064 is 460151001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61914 + ... + 63510.

Almost surely, 2^100151064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100151064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148326360).

100151064 is an abundant number, since it is smaller than the sum of its proper divisors (196501656).

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

100151064 is a wasteful number, since it uses less digits than its factorization.

100151064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100151064 is about 10007.5503496110. The cubic root of 100151064 is about 464.3924914267.

The spelling of 100151064 in words is "one hundred million, one hundred fifty-one thousand, sixty-four".