106612544 has 84 divisors (see below), whose sum is σ = 229233984. Its totient is φ = 49158912.

The previous prime is 106612543. The next prime is 106612549. The reversal of 106612544 is 445216601.

It is a super-2 number, since 2×106612544² = 22732469076303872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106612543) 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, 1591199 + ... + 1591265.

It is an arithmetic number, because the mean of its divisors is an integer number (2728976).

Almost surely, 2^106612544 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 106612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114616992).

106612544 is an abundant number, since it is smaller than the sum of its proper divisors (122621440).

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

106612544 is an equidigital number, since it uses as much as digits as its factorization.

106612544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 106612544 is about 10325.3350550963. The cubic root of 106612544 is about 474.1722151322.

The spelling of 106612544 in words is "one hundred six million, six hundred twelve thousand, five hundred forty-four".