105734832 has 160 divisors (see below), whose sum is σ = 335549952. Its totient is φ = 28004352.

The previous prime is 105734813. The next prime is 105734851. The reversal of 105734832 is 238437501.

It is an interprime number because it is at equal distance from previous prime (105734813) and next prime (105734851).

It is a super-2 number, since 2×105734832² = 22359709396136448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105734793 and 105734802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611098 + ... + 611270.

Almost surely, 2^105734832 is an apocalyptic number.

105734832 is a gapful number since it is divisible by the number (12) 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 105734832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167774976).

105734832 is an abundant number, since it is smaller than the sum of its proper divisors (229815120).

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

105734832 is a wasteful number, since it uses less digits than its factorization.

105734832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 105734832 is about 10282.7443807575. The cubic root of 105734832 is about 472.8673842707.

The spelling of 105734832 in words is "one hundred five million, seven hundred thirty-four thousand, eight hundred thirty-two".