101314444104 has 24 divisors (see below), whose sum is σ = 274393286310. Its totient is φ = 33771481344.

The previous prime is 101314444087. The next prime is 101314444129. The reversal of 101314444104 is 401444413101.

101314444104 is a `hidden beast` number, since 101 + 3 + 14 + 444 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64064672100 + 37249772004 = 253110^2 + 193002^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 703572457 + ... + 703572600.

Almost surely, 2^101314444104 is an apocalyptic number.

It is an amenable number.

101314444104 is an abundant number, since it is smaller than the sum of its proper divisors (173078842206).

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

101314444104 is a wasteful number, since it uses less digits than its factorization.

101314444104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407145069 (or 1407145062 counting only the distinct ones).

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

Adding to 101314444104 its reverse (401444413101), we get a palindrome (502758857205).

The spelling of 101314444104 in words is "one hundred one billion, three hundred fourteen million, four hundred forty-four thousand, one hundred four".