105048539963761 has 9 divisors (see below), whose sum is σ = 105586517548299. Its totient is φ = 104513289777624.

The previous prime is 105048539963749. The next prime is 105048539963767. The reversal of 105048539963761 is 167369935840501.

The square root of 105048539963761 is 10249319.

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., 102926401920225 + 2122138043536 = 10145265^2 + 1456756^2 .

It is not a de Polignac number, because 105048539963761 - 2⁵ = 105048539963729 is a prime.

It is a super-2 number, since 2×105048539963761² (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 (105048539963767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2019089830 + ... + 2019141856.

Almost surely, 2^{105048539963761} is an apocalyptic number.

105048539963761 is the 10249319-th square number.

105048539963761 is the 5124660-th centered octagonal number.

It is an amenable number.

105048539963761 is a deficient number, since it is larger than the sum of its proper divisors (537977584538).

105048539963761 is an frugal number, since it uses more digits than its factorization.

105048539963761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104448 (or 52224 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 67.

The spelling of 105048539963761 in words is "one hundred five trillion, forty-eight billion, five hundred thirty-nine million, nine hundred sixty-three thousand, seven hundred sixty-one".