106772320 has 48 divisors (see below), whose sum is σ = 254143008. Its totient is φ = 42388480.

The previous prime is 106772317. The next prime is 106772353. The reversal of 106772320 is 23277601.

It is a super-2 number, since 2×106772320² = 22800656636364800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19485 + ... + 24355.

It is an arithmetic number, because the mean of its divisors is an integer number (5294646).

Almost surely, 2^106772320 is an apocalyptic number.

106772320 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 106772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127071504).

106772320 is an abundant number, since it is smaller than the sum of its proper divisors (147370688).

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

106772320 is a wasteful number, since it uses less digits than its factorization.

106772320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 106772320 is about 10333.0692439372. The cubic root of 106772320 is about 474.4089712763.

The spelling of 106772320 in words is "one hundred six million, seven hundred seventy-two thousand, three hundred twenty".