106616944 has 60 divisors (see below), whose sum is σ = 241725600. Its totient is φ = 45421824.

The previous prime is 106616941. The next prime is 106616947. The reversal of 106616944 is 449616601.

It is an interprime number because it is at equal distance from previous prime (106616941) and next prime (106616947).

It is a super-2 number, since 2×106616944² = 22734345495798272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106616941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187092 + ... + 187660.

It is an arithmetic number, because the mean of its divisors is an integer number (4028760).

Almost surely, 2^106616944 is an apocalyptic number.

106616944 is a gapful number since it is divisible by the number (14) 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 106616944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120862800).

106616944 is an abundant number, since it is smaller than the sum of its proper divisors (135108656).

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

106616944 is a wasteful number, since it uses less digits than its factorization.

106616944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 106616944 is about 10325.5481210442. The cubic root of 106616944 is about 474.1787382203.

The spelling of 106616944 in words is "one hundred six million, six hundred sixteen thousand, nine hundred forty-four".