105706032 has 40 divisors (see below), whose sum is σ = 281886720. Its totient is φ = 34098240.

The previous prime is 105706031. The next prime is 105706033. The reversal of 105706032 is 230607501.

It is an interprime number because it is at equal distance from previous prime (105706031) and next prime (105706033).

It is a super-2 number, since 2×105706032² = 22347530402370048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105705993 and 105706011.

It is not an unprimeable number, because it can be changed into a prime (105706031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34032 + ... + 37007.

It is an arithmetic number, because the mean of its divisors is an integer number (7047168).

Almost surely, 2^105706032 is an apocalyptic number.

105706032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105706032 is an abundant number, since it is smaller than the sum of its proper divisors (176180688).

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

105706032 is a wasteful number, since it uses less digits than its factorization.

105706032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71081 (or 71075 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 105706032 is about 10281.3438810303. The cubic root of 105706032 is about 472.8244472458.

The spelling of 105706032 in words is "one hundred five million, seven hundred six thousand, thirty-two".