106516152 has 72 divisors (see below), whose sum is σ = 306508800. Its totient is φ = 33410304.

The previous prime is 106516133. The next prime is 106516171. The reversal of 106516152 is 251615601.

It is a happy number.

106516152 is a `hidden beast` number, since 1 + 0 + 651 + 6 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106516133) and next prime (106516171).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106516152² = 22691381273774208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18249 + ... + 23367.

Almost surely, 2^106516152 is an apocalyptic number.

106516152 is a gapful number since it is divisible by the number (12) 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 106516152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153254400).

106516152 is an abundant number, since it is smaller than the sum of its proper divisors (199992648).

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

106516152 is a wasteful number, since it uses less digits than its factorization.

106516152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 106516152 is about 10320.6662575630. Note that the first 3 decimals coincide. The cubic root of 106516152 is about 474.0292670066.

The spelling of 106516152 in words is "one hundred six million, five hundred sixteen thousand, one hundred fifty-two".