100164624 has 120 divisors (see below), whose sum is σ = 309408768. Its totient is φ = 27820800.

The previous prime is 100164619. The next prime is 100164671. The reversal of 100164624 is 426461001.

It is a super-2 number, since 2×100164624² = 20065903802122752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100164594 and 100164603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86449 + ... + 87599.

Almost surely, 2^100164624 is an apocalyptic number.

100164624 is a gapful number since it is divisible by the number (14) 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 100164624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154704384).

100164624 is an abundant number, since it is smaller than the sum of its proper divisors (209244144).

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

100164624 is a wasteful number, since it uses less digits than its factorization.

100164624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 100164624 is about 10008.2278151529. The cubic root of 100164624 is about 464.4134493601.

The spelling of 100164624 in words is "one hundred million, one hundred sixty-four thousand, six hundred twenty-four".