100164240 has 120 divisors (see below), whose sum is σ = 366994368. Its totient is φ = 24280320.

The previous prime is 100164227. The next prime is 100164247. The reversal of 100164240 is 42461001.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (100164247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597 + ... + 14243.

Almost surely, 2^100164240 is an apocalyptic number.

100164240 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 100164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183497184).

100164240 is an abundant number, since it is smaller than the sum of its proper divisors (266830128).

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

100164240 is a wasteful number, since it uses less digits than its factorization.

100164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677 (or 12668 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100164240 is about 10008.2086309189. The cubic root of 100164240 is about 464.4128558872.

The spelling of 100164240 in words is "one hundred million, one hundred sixty-four thousand, two hundred forty".