105734880 has 144 divisors (see below), whose sum is σ = 364893984. Its totient is φ = 27878400.

The previous prime is 105734861. The next prime is 105734897. The reversal of 105734880 is 88437501.

105734880 is a `hidden beast` number, since 1 + 0 + 573 + 4 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105734880² = 22359729697228800, which 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, 145077 + ... + 145803.

It is an arithmetic number, because the mean of its divisors is an integer number (2533986).

Almost surely, 2^105734880 is an apocalyptic number.

105734880 is a gapful number since it is divisible by the number (10) 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 105734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182446992).

105734880 is an abundant number, since it is smaller than the sum of its proper divisors (259159104).

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

105734880 is a wasteful number, since it uses less digits than its factorization.

105734880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 105734880 is about 10282.7467147645. The cubic root of 105734880 is about 472.8674558259.

It can be divided in two parts, 1057 and 34880, that added together give a cube (35937 = 33³).

The spelling of 105734880 in words is "one hundred five million, seven hundred thirty-four thousand, eight hundred eighty".