105525386228025 has 189 divisors, whose sum is σ = 200574373222111. Its totient is φ = 55048732094880.

The previous prime is 105525386227967. The next prime is 105525386228057. The reversal of 105525386228025 is 520822683525501.

The square root of 105525386228025 is 10272555.

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

105525386228025 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 5 + 3 + 8 + 622 + 8 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37989139042089 + 67536247185936 = 6163533^2 + 8218044^2 .

It is not a de Polignac number, because 105525386228025 - 2⁷ = 105525386227897 is a prime.

It is a super-2 number, since 2×105525386228025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 65179360666 + ... + 65179362284.

Almost surely, 2^{105525386228025} is an apocalyptic number.

105525386228025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105525386228025 is the 10272555-th square number.

105525386228025 is the 5136278-th centered octagonal number.

It is an amenable number.

105525386228025 is a deficient number, since it is larger than the sum of its proper divisors (95048986994086).

105525386228025 is an frugal number, since it uses more digits than its factorization.

105525386228025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 105525386228025 in words is "one hundred five trillion, five hundred twenty-five billion, three hundred eighty-six million, two hundred twenty-eight thousand, twenty-five".