105252525 has 72 divisors (see below), whose sum is σ = 228181824. Its totient is φ = 45273600.

The previous prime is 105252503. The next prime is 105252527. The reversal of 105252525 is 525252501.

It is not a de Polignac number, because 105252525 - 2⁶ = 105252461 is a prime.

It is a super-2 number, since 2×105252525² = 22156188037751250, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105252527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24810 + ... + 28740.

It is an arithmetic number, because the mean of its divisors is an integer number (3169192).

Almost surely, 2^105252525 is an apocalyptic number.

105252525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105252525 is an abundant number, since it is smaller than the sum of its proper divisors (122929299).

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

105252525 is a wasteful number, since it uses less digits than its factorization.

105252525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 105252525 is about 10259.2653245737. The cubic root of 105252525 is about 472.1472970451.

The spelling of 105252525 in words is "one hundred five million, two hundred fifty-two thousand, five hundred twenty-five".