100400164 has 12 divisors (see below), whose sum is σ = 186035724. Its totient is φ = 47247104.

The previous prime is 100400137. The next prime is 100400173. The reversal of 100400164 is 461004001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 73960000 + 26440164 = 8600^2 + 5142^2 .

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 3 ways as a sum of consecutive naturals, for example, 738169 + ... + 738304.

It is an arithmetic number, because the mean of its divisors is an integer number (15502977).

Almost surely, 2^100400164 is an apocalyptic number.

It is an amenable number.

100400164 is a deficient number, since it is larger than the sum of its proper divisors (85635560).

100400164 is a wasteful number, since it uses less digits than its factorization.

100400164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476494 (or 1476492 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 100400164 is about 10019.9882235460. The cubic root of 100400164 is about 464.7771915956. Note that the first 3 decimals are identical.

Adding to 100400164 its reverse (461004001), we get a palindrome (561404165).

The spelling of 100400164 in words is "one hundred million, four hundred thousand, one hundred sixty-four".