105897525561 has 27 divisors (see below), whose sum is σ = 155376169221. Its totient is φ = 69501688344.

The previous prime is 105897525551. The next prime is 105897525581. The reversal of 105897525561 is 165525798501.

The square root of 105897525561 is 325419.

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

105897525561 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 9 + 75 + 2 + 5 + 561 = 666.

It is not a de Polignac number, because 105897525561 - 2²³ = 105889136953 is a prime.

It is a super-2 number, since 2×105897525561² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105897525498 and 105897525507.

It is not an unprimeable number, because it can be changed into a prime (105897525551) 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, 65408410 + ... + 65410028.

Almost surely, 2^105897525561 is an apocalyptic number.

105897525561 is the 325419-th square number.

105897525561 is the 162710-th centered octagonal number.

It is an amenable number.

105897525561 is a deficient number, since it is larger than the sum of its proper divisors (49478643660).

105897525561 is an frugal number, since it uses more digits than its factorization.

105897525561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 54.

The spelling of 105897525561 in words is "one hundred five billion, eight hundred ninety-seven million, five hundred twenty-five thousand, five hundred sixty-one".