101444413104 has 60 divisors (see below), whose sum is σ = 283925187000. Its totient is φ = 33812216832.

The previous prime is 101444413087. The next prime is 101444413181. The reversal of 101444413104 is 401314444101.

101444413104 is a `hidden beast` number, since 1 + 0 + 144 + 4 + 413 + 104 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3189472 + ... + 3221120.

It is an arithmetic number, because the mean of its divisors is an integer number (4732086450).

Almost surely, 2^101444413104 is an apocalyptic number.

It is an amenable number.

101444413104 is an abundant number, since it is smaller than the sum of its proper divisors (182480773896).

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

101444413104 is a wasteful number, since it uses less digits than its factorization.

101444413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53922 (or 53913 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101444413104 its reverse (401314444101), we get a palindrome (502758857205).

The spelling of 101444413104 in words is "one hundred one billion, four hundred forty-four million, four hundred thirteen thousand, one hundred four".