106386516 has 18 divisors (see below), whose sum is σ = 268921562. Its totient is φ = 35462160.

The previous prime is 106386487. The next prime is 106386517. The reversal of 106386516 is 615683601.

It is a happy number.

106386516 is a `hidden beast` number, since 1 + 0 + 63 + 86 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79388100 + 26998416 = 8910^2 + 5196^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×106386516² = 22636181573236512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2955181 = 106386516 / (1 + 0 + 6 + 3 + 8 + 6 + 5 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106386517) 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 5 ways as a sum of consecutive naturals, for example, 1477555 + ... + 1477626.

Almost surely, 2^106386516 is an apocalyptic number.

It is an amenable number.

106386516 is an abundant number, since it is smaller than the sum of its proper divisors (162535046).

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

106386516 is a wasteful number, since it uses less digits than its factorization.

106386516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955191 (or 2955186 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106386516 is about 10314.3839370076. The cubic root of 106386516 is about 473.8368823976.

The spelling of 106386516 in words is "one hundred six million, three hundred eighty-six thousand, five hundred sixteen".