106812432 has 100 divisors (see below), whose sum is σ = 313658620. Its totient is φ = 35085312.

The previous prime is 106812413. The next prime is 106812443. The reversal of 106812432 is 234218601.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 75272976 = 5616^2 + 8676^2 .

It is a super-2 number, since 2×106812432² = 22817791259509248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106812396 and 106812405.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94044 + ... + 95172.

Almost surely, 2^106812432 is an apocalyptic number.

106812432 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 106812432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156829310).

106812432 is an abundant number, since it is smaller than the sum of its proper divisors (206846188).

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

106812432 is a wasteful number, since it uses less digits than its factorization.

106812432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106812432 is about 10335.0100145089. The cubic root of 106812432 is about 474.4683721590.

The spelling of 106812432 in words is "one hundred six million, eight hundred twelve thousand, four hundred thirty-two".