105013831104 has 672 divisors, whose sum is σ = 390538045440. Its totient is φ = 27081879552.

The previous prime is 105013831103. The next prime is 105013831121. The reversal of 105013831104 is 401138310501.

105013831104 is a `hidden beast` number, since 10 + 501 + 38 + 3 + 110 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×105013831104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105013831103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96077982 + ... + 96079074.

Almost surely, 2^105013831104 is an apocalyptic number.

105013831104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105013831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195269022720).

105013831104 is an abundant number, since it is smaller than the sum of its proper divisors (285524214336).

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

105013831104 is a wasteful number, since it uses less digits than its factorization.

105013831104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 105013831104 in words is "one hundred five billion, thirteen million, eight hundred thirty-one thousand, one hundred four".