106732192 has 72 divisors (see below), whose sum is σ = 250278336. Its totient is φ = 44650368.

The previous prime is 106732183. The next prime is 106732201. The reversal of 106732192 is 291237601.

It is an interprime number because it is at equal distance from previous prime (106732183) and next prime (106732201).

It is a super-2 number, since 2×106732192² = 22783521618249728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66633 + ... + 68215.

It is an arithmetic number, because the mean of its divisors is an integer number (3476088).

Almost surely, 2^106732192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106732192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139168).

106732192 is an abundant number, since it is smaller than the sum of its proper divisors (143546144).

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

106732192 is a wasteful number, since it uses less digits than its factorization.

106732192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 106732192 is about 10331.1273344200. The cubic root of 106732192 is about 474.3495318118.

Adding to 106732192 its reverse (291237601), we get a palindrome (397969793).

The spelling of 106732192 in words is "one hundred six million, seven hundred thirty-two thousand, one hundred ninety-two".