105842111580 has 72 divisors (see below), whose sum is σ = 321083354592. Its totient is φ = 28222018176.

The previous prime is 105842111561. The next prime is 105842111593. The reversal of 105842111580 is 85111248501.

105842111580 is a `hidden beast` number, since 1 + 0 + 58 + 4 + 21 + 1 + 1 + 580 = 666.

It is a super-2 number, since 2×105842111580² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2824849 + ... + 2862071.

It is an arithmetic number, because the mean of its divisors is an integer number (4459491036).

Almost surely, 2^105842111580 is an apocalyptic number.

105842111580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105842111580 is an abundant number, since it is smaller than the sum of its proper divisors (215241243012).

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

105842111580 is a wasteful number, since it uses less digits than its factorization.

105842111580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53035 (or 53030 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 105842111580 in words is "one hundred five billion, eight hundred forty-two million, one hundred eleven thousand, five hundred eighty".