107191414801 has 3 divisors (see below), whose sum is σ = 107191742203. Its totient is φ = 107191087400.

The previous prime is 107191414789. The next prime is 107191414859. The reversal of 107191414801 is 108414191701.

The square root of 107191414801 is 327401.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 29104701201 + 78086713600 = 170601^2 + 279440^2 .

It is not a de Polignac number, because 107191414801 - 2¹⁷ = 107191283729 is a prime.

It is a super-2 number, since 2×107191414801² (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 (107191454801) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 163701 + ... + 491101.

Almost surely, 2^107191414801 is an apocalyptic number.

107191414801 is the 327401-st square number.

107191414801 is the 163701-st centered octagonal number.

It is an amenable number.

107191414801 is a deficient number, since it is larger than the sum of its proper divisors (327402).

107191414801 is an frugal number, since it uses more digits than its factorization.

107191414801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654802 (or 327401 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 37.

The spelling of 107191414801 in words is "one hundred seven billion, one hundred ninety-one million, four hundred fourteen thousand, eight hundred one".