105894432 has 96 divisors (see below), whose sum is σ = 353001600. Its totient is φ = 30253824.

The previous prime is 105894413. The next prime is 105894433. The reversal of 105894432 is 234498501.

105894432 is a `hidden beast` number, since 1 + 0 + 589 + 44 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105894432² = 22427261457205248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105894433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2707 + ... + 14802.

It is an arithmetic number, because the mean of its divisors is an integer number (3677100).

Almost surely, 2^105894432 is an apocalyptic number.

105894432 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 105894432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176500800).

105894432 is an abundant number, since it is smaller than the sum of its proper divisors (247107168).

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

105894432 is a wasteful number, since it uses less digits than its factorization.

105894432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17535 (or 17521 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 105894432 is about 10290.5020285698. The cubic root of 105894432 is about 473.1051857366.

The spelling of 105894432 in words is "one hundred five million, eight hundred ninety-four thousand, four hundred thirty-two".