106013536 has 24 divisors (see below), whose sum is σ = 213807384. Its totient is φ = 51713280.

The previous prime is 106013503. The next prime is 106013543. The reversal of 106013536 is 635310601.

It is a super-2 number, since 2×106013536² = 22477739630446592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106013536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39090 + ... + 41713.

It is an arithmetic number, because the mean of its divisors is an integer number (8908641).

Almost surely, 2^106013536 is an apocalyptic number.

106013536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106013536 is an abundant number, since it is smaller than the sum of its proper divisors (107793848).

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

106013536 is an equidigital number, since it uses as much as digits as its factorization.

106013536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80854 (or 80846 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 106013536 is about 10296.2874862739. The cubic root of 106013536 is about 473.2824931619.

The spelling of 106013536 in words is "one hundred six million, thirteen thousand, five hundred thirty-six".