105882191625 has 64 divisors (see below), whose sum is σ = 201760505856. Its totient is φ = 48306456000.

The previous prime is 105882191593. The next prime is 105882191633. The reversal of 105882191625 is 526191288501.

It is not a de Polignac number, because 105882191625 - 2⁵ = 105882191593 is a prime.

It is a super-2 number, since 2×105882191625² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1280280 + ... + 1360470.

It is an arithmetic number, because the mean of its divisors is an integer number (3152507904).

Almost surely, 2^105882191625 is an apocalyptic number.

105882191625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105882191625 is a deficient number, since it is larger than the sum of its proper divisors (95878314231).

105882191625 is an equidigital number, since it uses as much as digits as its factorization.

105882191625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80719 (or 80709 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 105882191625 in words is "one hundred five billion, eight hundred eighty-two million, one hundred ninety-one thousand, six hundred twenty-five".