100399440 has 40 divisors (see below), whose sum is σ = 311239008. Its totient is φ = 26773120.

The previous prime is 100399417. The next prime is 100399457. The reversal of 100399440 is 44993001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100399398 and 100399407.

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 7 ways as a sum of consecutive naturals, for example, 208926 + ... + 209405.

Almost surely, 2^100399440 is an apocalyptic number.

100399440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100399440 is an abundant number, since it is smaller than the sum of its proper divisors (210839568).

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

100399440 is a wasteful number, since it uses less digits than its factorization.

100399440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418347 (or 418341 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 100399440 is about 10019.9520956939. The cubic root of 100399440 is about 464.7760744012.

The spelling of 100399440 in words is "one hundred million, three hundred ninety-nine thousand, four hundred forty".