106772480 has 48 divisors (see below), whose sum is σ = 256215960. Its totient is φ = 42704896.

The previous prime is 106772441. The next prime is 106772489. The reversal of 106772480 is 84277601.

It is a happy number.

It is a super-2 number, since 2×106772480² = 22800724970700800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106772480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106772489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5027 + ... + 15453.

Almost surely, 2^106772480 is an apocalyptic number.

106772480 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 106772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128107980).

106772480 is an abundant number, since it is smaller than the sum of its proper divisors (149443480).

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

106772480 is an equidigital number, since it uses as much as digits as its factorization.

106772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10454 (or 10434 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 106772480 is about 10333.0769860676. The cubic root of 106772480 is about 474.4092082460.

The spelling of 106772480 in words is "one hundred six million, seven hundred seventy-two thousand, four hundred eighty".