105025557 has 48 divisors (see below), whose sum is σ = 175609728. Its totient is φ = 54662400.

The previous prime is 105025553. The next prime is 105025561. The reversal of 105025557 is 755520501.

It is an interprime number because it is at equal distance from previous prime (105025553) and next prime (105025561).

It is not a de Polignac number, because 105025557 - 2² = 105025553 is a prime.

It is a super-2 number, since 2×105025557² = 22060735246320498, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105025553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358303 + ... + 358595.

It is an arithmetic number, because the mean of its divisors is an integer number (3658536).

Almost surely, 2^105025557 is an apocalyptic number.

It is an amenable number.

105025557 is a deficient number, since it is larger than the sum of its proper divisors (70584171).

105025557 is a wasteful number, since it uses less digits than its factorization.

105025557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 30.

The square root of 105025557 is about 10248.1977439938. The cubic root of 105025557 is about 471.8076711504.

The spelling of 105025557 in words is "one hundred five million, twenty-five thousand, five hundred fifty-seven".