106007616 has 315 divisors, whose sum is σ = 374017413. Its totient is φ = 29652480.

The previous prime is 106007611. The next prime is 106007641. The reversal of 106007616 is 616700601.

106007616 = 1³ + 2³ + ... + 143³.

The square root of 106007616 is 10296.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15681600 + 90326016 = 3960^2 + 9504^2 .

It is a super-2 number, since 2×106007616² = 22475229300006912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106007616.

It is not an unprimeable number, because it can be changed into a prime (106007611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8154426 + ... + 8154438.

Almost surely, 2^106007616 is an apocalyptic number.

106007616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106007616 is the 10296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106007616

106007616 is an abundant number, since it is smaller than the sum of its proper divisors (268009797).

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

106007616 is a wasteful number, since it uses less digits than its factorization.

106007616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 106007616 is about 473.2736833293.

The spelling of 106007616 in words is "one hundred six million, seven thousand, six hundred sixteen".