105272925 has 24 divisors (see below), whose sum is σ = 184291776. Its totient is φ = 52842240.

The previous prime is 105272911. The next prime is 105272941. The reversal of 105272925 is 529272501.

It is a happy number.

It is not a de Polignac number, because 105272925 - 2⁶ = 105272861 is a prime.

It is a super-2 number, since 2×105272925² = 22164777476111250, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40009 + ... + 42558.

It is an arithmetic number, because the mean of its divisors is an integer number (7678824).

Almost surely, 2^105272925 is an apocalyptic number.

105272925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105272925 is a deficient number, since it is larger than the sum of its proper divisors (79018851).

105272925 is a wasteful number, since it uses less digits than its factorization.

105272925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82597 (or 82592 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 105272925 is about 10260.2594996423. The cubic root of 105272925 is about 472.1777988712.

The spelling of 105272925 in words is "one hundred five million, two hundred seventy-two thousand, nine hundred twenty-five".