106013610 has 48 divisors (see below), whose sum is σ = 285850656. Its totient is φ = 28269648.

The previous prime is 106013599. The next prime is 106013617. The reversal of 106013610 is 16310601.

106013610 is a `hidden beast` number, since 1 + 0 + 601 + 3 + 61 + 0 = 666.

It is a super-2 number, since 2×106013610² = 22477771010464200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106013617) 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 23 ways as a sum of consecutive naturals, for example, 19384 + ... + 24243.

It is an arithmetic number, because the mean of its divisors is an integer number (5955222).

Almost surely, 2^106013610 is an apocalyptic number.

106013610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106013610 is an abundant number, since it is smaller than the sum of its proper divisors (179837046).

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

106013610 is an equidigital number, since it uses as much as digits as its factorization.

106013610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43649 (or 43637 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106013610 is about 10296.2910798015. The cubic root of 106013610 is about 473.2826032828.

The spelling of 106013610 in words is "one hundred six million, thirteen thousand, six hundred ten".