106861536 has 72 divisors (see below), whose sum is σ = 310990680. Its totient is φ = 34788096.

The previous prime is 106861523. The next prime is 106861553. The reversal of 106861536 is 635168601.

It is a happy number.

106861536 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 615 + 36 = 666.

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

It is a super-2 number, since 2×106861536² = 22838775752558592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106861536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8070 + ... + 16698.

It is an arithmetic number, because the mean of its divisors is an integer number (4319315).

Almost surely, 2^106861536 is an apocalyptic number.

106861536 is a gapful number since it is divisible by the number (16) 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 106861536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155495340).

106861536 is an abundant number, since it is smaller than the sum of its proper divisors (204129144).

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

106861536 is a wasteful number, since it uses less digits than its factorization.

106861536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688 (or 8677 counting only the distinct ones).

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

The square root of 106861536 is about 10337.3853560753. The cubic root of 106861536 is about 474.5410688329.

The spelling of 106861536 in words is "one hundred six million, eight hundred sixty-one thousand, five hundred thirty-six".