107334310401 has 12 divisors (see below), whose sum is σ = 155904587280. Its totient is φ = 71156450520.

The previous prime is 107334310397. The next prime is 107334310409. The reversal of 107334310401 is 104013433701.

107334310401 is a `hidden beast` number, since 10 + 7 + 334 + 310 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 107334310401 - 2² = 107334310397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107334310409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33311335 + ... + 33314556.

It is an arithmetic number, because the mean of its divisors is an integer number (12992048940).

Almost surely, 2^107334310401 is an apocalyptic number.

It is an amenable number.

107334310401 is a deficient number, since it is larger than the sum of its proper divisors (48570276879).

107334310401 is a wasteful number, since it uses less digits than its factorization.

107334310401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66626076 (or 66626073 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 107334310401 in words is "one hundred seven billion, three hundred thirty-four million, three hundred ten thousand, four hundred one".