105081520725 has 120 divisors (see below), whose sum is σ = 212747597568. Its totient is φ = 51044774400.

The previous prime is 105081520711. The next prime is 105081520763. The reversal of 105081520725 is 527025180501.

105081520725 is a `hidden beast` number, since 1 + 0 + 50 + 81 + 520 + 7 + 2 + 5 = 666.

It is not a de Polignac number, because 105081520725 - 2¹³ = 105081512533 is a prime.

It is a super-2 number, since 2×105081520725² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105081520725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1017942 + ... + 1116408.

Almost surely, 2^105081520725 is an apocalyptic number.

105081520725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105081520725 is an abundant number, since it is smaller than the sum of its proper divisors (107666076843).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105081520725 is a wasteful number, since it uses less digits than its factorization.

105081520725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98537 (or 98523 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 105081520725 in words is "one hundred five billion, eighty-one million, five hundred twenty thousand, seven hundred twenty-five".