106682532 has 108 divisors (see below), whose sum is σ = 290607408. Its totient is φ = 30206400.

The previous prime is 106682491. The next prime is 106682567. The reversal of 106682532 is 235286601.

It is a super-2 number, since 2×106682532² = 22762325267862048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 106682493 and 106682502.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3441357 + ... + 3441387.

Almost surely, 2^106682532 is an apocalyptic number.

106682532 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 106682532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145303704).

106682532 is an abundant number, since it is smaller than the sum of its proper divisors (183924876).

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

106682532 is a wasteful number, since it uses less digits than its factorization.

106682532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106682532 is about 10328.7236384754. The cubic root of 106682532 is about 474.2759524738.

Multiplying 106682532 by its sum of digits (33), we get a square (3520523556 = 59334²).

106682532 divided by its sum of digits (33) gives a square (3232804 = 1798²).

The spelling of 106682532 in words is "one hundred six million, six hundred eighty-two thousand, five hundred thirty-two".