106007916 has 96 divisors (see below), whose sum is σ = 300482560. Its totient is φ = 28413504.

The previous prime is 106007893. The next prime is 106007921. The reversal of 106007916 is 619700601.

It is a super-2 number, since 2×106007916² = 22475356509326112, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 202431 + ... + 202953.

Almost surely, 2^106007916 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 106007916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150241280).

106007916 is an abundant number, since it is smaller than the sum of its proper divisors (194474644).

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

106007916 is a wasteful number, since it uses less digits than its factorization.

106007916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 106007916 is about 10296.0145687543. The cubic root of 106007916 is about 473.2741297814.

The spelling of 106007916 in words is "one hundred six million, seven thousand, nine hundred sixteen".