100664213400 has 96 divisors (see below), whose sum is σ = 346732309200. Its totient is φ = 26843788800.

The previous prime is 100664213399. The next prime is 100664213537. The reversal of 100664213400 is 4312466001.

100664213400 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 642 + 13 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9315361 + ... + 9326160.

Almost surely, 2^100664213400 is an apocalyptic number.

100664213400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100664213400 is an abundant number, since it is smaller than the sum of its proper divisors (246068095800).

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

100664213400 is a wasteful number, since it uses less digits than its factorization.

100664213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18641546 (or 18641531 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100664213400 its reverse (4312466001), we get a palindrome (104976679401).

The spelling of 100664213400 in words is "one hundred billion, six hundred sixty-four million, two hundred thirteen thousand, four hundred".