105420838875 has 32 divisors (see below), whose sum is σ = 191367581184. Its totient is φ = 51113132000.

The previous prime is 105420838867. The next prime is 105420838877. The reversal of 105420838875 is 578838024501.

It is not a de Polignac number, because 105420838875 - 2³ = 105420838867 is a prime.

It is a super-2 number, since 2×105420838875² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105420838877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12774159 + ... + 12782408.

It is an arithmetic number, because the mean of its divisors is an integer number (5980236912).

Almost surely, 2^105420838875 is an apocalyptic number.

105420838875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105420838875 is a deficient number, since it is larger than the sum of its proper divisors (85946742309).

105420838875 is a wasteful number, since it uses less digits than its factorization.

105420838875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25556596 (or 25556586 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 105420838875 in words is "one hundred five billion, four hundred twenty million, eight hundred thirty-eight thousand, eight hundred seventy-five".