105406116500 has 48 divisors (see below), whose sum is σ = 230240586576. Its totient is φ = 42156288000.

The previous prime is 105406116469. The next prime is 105406116523. The reversal of 105406116500 is 5611604501.

105406116500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 41512432516 + 63893683984 = 203746^2 + 252772^2 .

It is a super-2 number, since 2×105406116500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 5126240 + ... + 5146760.

It is an arithmetic number, because the mean of its divisors is an integer number (4796678887).

Almost surely, 2^105406116500 is an apocalyptic number.

105406116500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105406116500 is an abundant number, since it is smaller than the sum of its proper divisors (124834470076).

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

105406116500 is a wasteful number, since it uses less digits than its factorization.

105406116500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30813 (or 30801 counting only the distinct ones).

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

The spelling of 105406116500 in words is "one hundred five billion, four hundred six million, one hundred sixteen thousand, five hundred".