100404214004 has 48 divisors (see below), whose sum is σ = 193483080000. Its totient is φ = 45403852032.

The previous prime is 100404213977. The next prime is 100404214013. The reversal of 100404214004 is 400412404001.

It is a happy number.

It is a super-2 number, since 2×100404214004² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59774 + ... + 452085.

It is an arithmetic number, because the mean of its divisors is an integer number (4030897500).

Almost surely, 2^100404214004 is an apocalyptic number.

It is an amenable number.

100404214004 is a deficient number, since it is larger than the sum of its proper divisors (93078865996).

100404214004 is a wasteful number, since it uses less digits than its factorization.

100404214004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512000 (or 511998 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 100404214004 its reverse (400412404001), we get a palindrome (500816618005).

The spelling of 100404214004 in words is "one hundred billion, four hundred four million, two hundred fourteen thousand, four".