106725920 has 72 divisors (see below), whose sum is σ = 293327244. Its totient is φ = 36589056.

The previous prime is 106725893. The next prime is 106725923. The reversal of 106725920 is 29527601.

It can be written as a sum of positive squares in 2 ways, for example, as 85895824 + 20830096 = 9268^2 + 4564^2 .

It is a super-2 number, since 2×106725920² = 22780843999692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (106725923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1034 + ... + 14646.

Almost surely, 2^106725920 is an apocalyptic number.

106725920 is a gapful number since it is divisible by the number (10) 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 106725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146663622).

106725920 is an abundant number, since it is smaller than the sum of its proper divisors (186601324).

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

106725920 is a wasteful number, since it uses less digits than its factorization.

106725920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13642 (or 13627 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 106725920 is about 10330.8237812868. The cubic root of 106725920 is about 474.3402400867.

The spelling of 106725920 in words is "one hundred six million, seven hundred twenty-five thousand, nine hundred twenty".