105254625 has 64 divisors (see below), whose sum is σ = 202655232. Its totient is φ = 47520000.

The previous prime is 105254621. The next prime is 105254657. The reversal of 105254625 is 526452501.

It is not a de Polignac number, because 105254625 - 2² = 105254621 is a prime.

It is a super-2 number, since 2×105254625² = 22157072167781250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105254592 and 105254601.

It is not an unprimeable number, because it can be changed into a prime (105254621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264927 + ... + 265323.

It is an arithmetic number, because the mean of its divisors is an integer number (3166488).

Almost surely, 2^105254625 is an apocalyptic number.

105254625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105254625 is a deficient number, since it is larger than the sum of its proper divisors (97400607).

105254625 is a wasteful number, since it uses less digits than its factorization.

105254625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 105254625 is about 10259.3676705731. The cubic root of 105254625 is about 472.1504371209.

The spelling of 105254625 in words is "one hundred five million, two hundred fifty-four thousand, six hundred twenty-five".