100150688 has 48 divisors (see below), whose sum is σ = 222536160. Its totient is φ = 43948800.

The previous prime is 100150681. The next prime is 100150697. The reversal of 100150688 is 886051001.

100150688 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 100150688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100150681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5303 + ... + 15113.

It is an arithmetic number, because the mean of its divisors is an integer number (4636170).

Almost surely, 2^100150688 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 100150688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111268080).

100150688 is an abundant number, since it is smaller than the sum of its proper divisors (122385472).

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

100150688 is a wasteful number, since it uses less digits than its factorization.

100150688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9861 (or 9853 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 100150688 is about 10007.5315637774. The cubic root of 100150688 is about 464.3919102653.

The spelling of 100150688 in words is "one hundred million, one hundred fifty thousand, six hundred eighty-eight".