105210625023 has 96 divisors (see below), whose sum is σ = 197350732800. Its totient is φ = 52600762368.

The previous prime is 105210625021. The next prime is 105210625067. The reversal of 105210625023 is 320526012501.

It is a happy number.

105210625023 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 10 + 625 + 0 + 23 = 666.

It is not a de Polignac number, because 105210625023 - 2¹ = 105210625021 is a prime.

It is a super-2 number, since 2×105210625023² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105210625021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732511 + ... + 864287.

It is an arithmetic number, because the mean of its divisors is an integer number (2055736800).

Almost surely, 2^105210625023 is an apocalyptic number.

105210625023 is a deficient number, since it is larger than the sum of its proper divisors (92140107777).

105210625023 is a wasteful number, since it uses less digits than its factorization.

105210625023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131861 (or 131858 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 105210625023 its reverse (320526012501), we get a palindrome (425736637524).

The spelling of 105210625023 in words is "one hundred five billion, two hundred ten million, six hundred twenty-five thousand, twenty-three".