105010257 has 24 divisors (see below), whose sum is σ = 156467808. Its totient is φ = 62126400.

The previous prime is 105010231. The next prime is 105010289. The reversal of 105010257 is 752010501.

It is not a de Polignac number, because 105010257 - 2⁶ = 105010193 is a prime.

It is a super-3 number, since 3×105010257³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105010057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60157 + ... + 61877.

It is an arithmetic number, because the mean of its divisors is an integer number (6519492).

Almost surely, 2^105010257 is an apocalyptic number.

It is an amenable number.

105010257 is a deficient number, since it is larger than the sum of its proper divisors (51457551).

105010257 is a wasteful number, since it uses less digits than its factorization.

105010257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 105010257 is about 10247.4512440899. The cubic root of 105010257 is about 471.7847592417.

Adding to 105010257 its reverse (752010501), we get a palindrome (857020758).

The spelling of 105010257 in words is "one hundred five million, ten thousand, two hundred fifty-seven".