100387640 has 64 divisors (see below), whose sum is σ = 248140800. Its totient is φ = 36381312.

The previous prime is 100387633. The next prime is 100387657. The reversal of 100387640 is 46783001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14609 + ... + 20351.

It is an arithmetic number, because the mean of its divisors is an integer number (3877200).

Almost surely, 2^100387640 is an apocalyptic number.

100387640 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 100387640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124070400).

100387640 is an abundant number, since it is smaller than the sum of its proper divisors (147753160).

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

100387640 is a wasteful number, since it uses less digits than its factorization.

100387640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5792 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 100387640 is about 10019.3632532212. The cubic root of 100387640 is about 464.7578652274.

The spelling of 100387640 in words is "one hundred million, three hundred eighty-seven thousand, six hundred forty".