105877907854 has 32 divisors (see below), whose sum is σ = 174884129280. Its totient is φ = 47851147872.

The previous prime is 105877907851. The next prime is 105877907881. The reversal of 105877907854 is 458709778501.

It is a super-2 number, since 2×105877907854² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105877907792 and 105877907801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105877907851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194407 + ... + 499549.

It is an arithmetic number, because the mean of its divisors is an integer number (5465129040).

Almost surely, 2^105877907854 is an apocalyptic number.

105877907854 is a deficient number, since it is larger than the sum of its proper divisors (69006221426).

105877907854 is a wasteful number, since it uses less digits than its factorization.

105877907854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305584.

The product of its (nonzero) digits is 19756800, while the sum is 61.

The spelling of 105877907854 in words is "one hundred five billion, eight hundred seventy-seven million, nine hundred seven thousand, eight hundred fifty-four".