106932736 has 40 divisors (see below), whose sum is σ = 216659124. Its totient is φ = 52715520.

The previous prime is 106932719. The next prime is 106932751. The reversal of 106932736 is 637239601.

It can be written as a sum of positive squares in 2 ways, for example, as 106502400 + 430336 = 10320^2 + 656^2 .

It is a super-2 number, since 2×106932736² = 22869220056891392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106932695 and 106932704.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35946 + ... + 38806.

Almost surely, 2^106932736 is an apocalyptic number.

106932736 is a gapful number since it is divisible by the number (16) 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 106932736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108329562).

106932736 is an abundant number, since it is smaller than the sum of its proper divisors (109726388).

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

106932736 is an frugal number, since it uses more digits than its factorization.

106932736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 106932736 is about 10340.8285934929. The cubic root of 106932736 is about 474.6464382800.

The spelling of 106932736 in words is "one hundred six million, nine hundred thirty-two thousand, seven hundred thirty-six".