105252357 has 16 divisors (see below), whose sum is σ = 161221760. Its totient is φ = 59830272.

The previous prime is 105252353. The next prime is 105252359. The reversal of 105252357 is 753252501.

It is not a de Polignac number, because 105252357 - 2² = 105252353 is a prime.

It is a super-2 number, since 2×105252357² = 22156117308110898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105252353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8932 + ... + 17037.

It is an arithmetic number, because the mean of its divisors is an integer number (10076360).

Almost surely, 2^105252357 is an apocalyptic number.

It is an amenable number.

105252357 is a deficient number, since it is larger than the sum of its proper divisors (55969403).

105252357 is a wasteful number, since it uses less digits than its factorization.

105252357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26172.

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 105252357 is about 10259.2571368496. The cubic root of 105252357 is about 472.1470458372.

The spelling of 105252357 in words is "one hundred five million, two hundred fifty-two thousand, three hundred fifty-seven".