105878864835 has 48 divisors (see below), whose sum is σ = 187530505344. Its totient is φ = 55237076736.

The previous prime is 105878864821. The next prime is 105878864837. The reversal of 105878864835 is 538468878501.

105878864835 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 78 + 86 + 483 + 5 = 666.

It is not a de Polignac number, because 105878864835 - 2⁶ = 105878864771 is a prime.

It is a super-2 number, since 2×105878864835² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105878864837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4160209 + ... + 4185581.

It is an arithmetic number, because the mean of its divisors is an integer number (3906885528).

Almost surely, 2^105878864835 is an apocalyptic number.

105878864835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105878864835 is a deficient number, since it is larger than the sum of its proper divisors (81651640509).

105878864835 is a wasteful number, since it uses less digits than its factorization.

105878864835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27404 (or 27401 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 105878864835 in words is "one hundred five billion, eight hundred seventy-eight million, eight hundred sixty-four thousand, eight hundred thirty-five".