107185720401 has 6 divisors (see below), whose sum is σ = 154823818370. Its totient is φ = 71457146928.

The previous prime is 107185720379. The next prime is 107185720427. The reversal of 107185720401 is 104027581701.

107185720401 is a `hidden beast` number, since 1 + 0 + 7 + 185 + 72 + 0 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107164569600 + 21150801 = 327360^2 + 4599^2 .

It is not a de Polignac number, because 107185720401 - 2⁶ = 107185720337 is a prime.

It is a super-2 number, since 2×107185720401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107185720451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5954762236 + ... + 5954762253.

Almost surely, 2^107185720401 is an apocalyptic number.

It is an amenable number.

107185720401 is a deficient number, since it is larger than the sum of its proper divisors (47638097969).

107185720401 is a wasteful number, since it uses less digits than its factorization.

107185720401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11909524495 (or 11909524492 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 107185720401 in words is "one hundred seven billion, one hundred eighty-five million, seven hundred twenty thousand, four hundred one".