100388340 has 72 divisors (see below), whose sum is σ = 327942888. Its totient is φ = 24710400.

The previous prime is 100388329. The next prime is 100388347. The reversal of 100388340 is 43883001.

It can be written as a sum of positive squares in 4 ways, for example, as 7420176 + 92968164 = 2724^2 + 9642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100388347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19111 + ... + 23790.

Almost surely, 2^100388340 is an apocalyptic number.

100388340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100388340 is an abundant number, since it is smaller than the sum of its proper divisors (227554548).

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

100388340 is a wasteful number, since it uses less digits than its factorization.

100388340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42929 (or 42924 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100388340 is about 10019.3981855199. The cubic root of 100388340 is about 464.7589454725.

The spelling of 100388340 in words is "one hundred million, three hundred eighty-eight thousand, three hundred forty".