100165240 has 32 divisors (see below), whose sum is σ = 257568480. Its totient is φ = 34342272.

The previous prime is 100165237. The next prime is 100165243. The reversal of 100165240 is 42561001.

It is an interprime number because it is at equal distance from previous prime (100165237) and next prime (100165243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100165243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178587 + ... + 179146.

It is an arithmetic number, because the mean of its divisors is an integer number (8049015).

Almost surely, 2^100165240 is an apocalyptic number.

100165240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100165240 is an abundant number, since it is smaller than the sum of its proper divisors (157403240).

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

100165240 is a wasteful number, since it uses less digits than its factorization.

100165240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357751 (or 357747 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 100165240 is about 10008.2585897847. The cubic root of 100165240 is about 464.4144013865.

The spelling of 100165240 in words is "one hundred million, one hundred sixty-five thousand, two hundred forty".