105959858235 has 64 divisors (see below), whose sum is σ = 218657940480. Its totient is φ = 42516794880.

The previous prime is 105959858227. The next prime is 105959858269. The reversal of 105959858235 is 532858959501.

It is a happy number.

It is not a de Polignac number, because 105959858235 - 2³ = 105959858227 is a prime.

It is a super-2 number, since 2×105959858235² (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, 1548232 + ... + 1615221.

It is an arithmetic number, because the mean of its divisors is an integer number (3416530320).

Almost surely, 2^105959858235 is an apocalyptic number.

105959858235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105959858235 is an abundant number, since it is smaller than the sum of its proper divisors (112698082245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105959858235 is a wasteful number, since it uses less digits than its factorization.

105959858235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163508.

The product of its (nonzero) digits is 19440000, while the sum is 60.

The spelling of 105959858235 in words is "one hundred five billion, nine hundred fifty-nine million, eight hundred fifty-eight thousand, two hundred thirty-five".