100605150 has 72 divisors (see below), whose sum is σ = 286213824. Its totient is φ = 25248000.

The previous prime is 100605149. The next prime is 100605163. The reversal of 100605150 is 51506001.

100605150 is a `hidden beast` number, since 10 + 0 + 605 + 1 + 50 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1075 + ... + 14225.

It is an arithmetic number, because the mean of its divisors is an integer number (3975192).

Almost surely, 2^100605150 is an apocalyptic number.

100605150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100605150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143106912).

100605150 is an abundant number, since it is smaller than the sum of its proper divisors (185608674).

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

100605150 is a wasteful number, since it uses less digits than its factorization.

100605150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186 (or 13178 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100605150 is about 10030.2118621692. The cubic root of 100605150 is about 465.0932868683.

The spelling of 100605150 in words is "one hundred million, six hundred five thousand, one hundred fifty".