107147941810441 has 27 divisors (see below), whose sum is σ = 127759209007527. Its totient is φ = 89598582027360.

The previous prime is 107147941810423. The next prime is 107147941810471. The reversal of 107147941810441 is 144018149741701.

The square root of 107147941810441 is 10351229.

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

It can be written as a sum of positive squares in only one way, i.e., 5162988272841 + 101984953537600 = 2272221^2 + 10098760^2 .

It is not a de Polignac number, because 107147941810441 - 2³⁵ = 107113582072073 is a prime.

It is a super-2 number, since 2×107147941810441² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107147941810471) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2970784690 + ... + 2970820756.

Almost surely, 2^{107147941810441} is an apocalyptic number.

107147941810441 is the 10351229-th square number.

107147941810441 is the 5175615-th centered octagonal number.

It is an amenable number.

107147941810441 is a deficient number, since it is larger than the sum of its proper divisors (20611267197086).

107147941810441 is an frugal number, since it uses more digits than its factorization.

107147941810441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72230 (or 36115 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The spelling of 107147941810441 in words is "one hundred seven trillion, one hundred forty-seven billion, nine hundred forty-one million, eight hundred ten thousand, four hundred forty-one".