106436736 has 192 divisors, whose sum is σ = 357065280. Its totient is φ = 29804544.

The previous prime is 106436683. The next prime is 106436747. The reversal of 106436736 is 637634601.

It is a happy number.

106436736 is a `hidden beast` number, since 1 + 0 + 643 + 6 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106436736² = 22657557540667392, 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 106436736.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540190 + ... + 540386.

It is an arithmetic number, because the mean of its divisors is an integer number (1859715).

Almost surely, 2^106436736 is an apocalyptic number.

106436736 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 106436736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178532640).

106436736 is an abundant number, since it is smaller than the sum of its proper divisors (250628544).

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

106436736 is a wasteful number, since it uses less digits than its factorization.

106436736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 106436736 is about 10316.8181141280. The cubic root of 106436736 is about 473.9114292662.

The spelling of 106436736 in words is "one hundred six million, four hundred thirty-six thousand, seven hundred thirty-six".