105311110352420 has 48 divisors (see below), whose sum is σ = 252795020661120. Its totient is φ = 36099758433024.

The previous prime is 105311110352419. The next prime is 105311110352443. The reversal of 105311110352420 is 24253011113501.

It is a happy number.

It is a super-2 number, since 2×105311110352420² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71223665 + ... + 72687224.

It is an arithmetic number, because the mean of its divisors is an integer number (5266562930440).

Almost surely, 2^{105311110352420} is an apocalyptic number.

105311110352420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105311110352420 is an abundant number, since it is smaller than the sum of its proper divisors (147483910308700).

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

105311110352420 is a wasteful number, since it uses less digits than its factorization.

105311110352420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143916132 (or 143916130 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 105311110352420 its reverse (24253011113501), we get a palindrome (129564121465921).

The spelling of 105311110352420 in words is "one hundred five trillion, three hundred eleven billion, one hundred ten million, three hundred fifty-two thousand, four hundred twenty".