106785432 has 128 divisors (see below), whose sum is σ = 338385600. Its totient is φ = 30910464.

The previous prime is 106785397. The next prime is 106785451. The reversal of 106785432 is 234587601.

106785432 is a `hidden beast` number, since 106 + 7 + 8 + 543 + 2 = 666.

It is a super-2 number, since 2×106785432² = 22806256974853248, 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 31 ways as a sum of consecutive naturals, for example, 46618 + ... + 48854.

Almost surely, 2^106785432 is an apocalyptic number.

106785432 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 106785432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169192800).

106785432 is an abundant number, since it is smaller than the sum of its proper divisors (231600168).

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

106785432 is a wasteful number, since it uses less digits than its factorization.

106785432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 106785432 is about 10333.7036922877. The cubic root of 106785432 is about 474.4283901538.

It can be divided in two parts, 10678 and 5432, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 106785432 in words is "one hundred six million, seven hundred eighty-five thousand, four hundred thirty-two".