106985736 has 96 divisors (see below), whose sum is σ = 340441920. Its totient is φ = 29923200.

The previous prime is 106985731. The next prime is 106985737. The reversal of 106985736 is 637589601.

It is a happy number.

106985736 is a `hidden beast` number, since 10 + 69 + 8 + 573 + 6 = 666.

It is a super-2 number, since 2×106985736² = 22891895414923392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106985691 and 106985700.

It is not an unprimeable number, because it can be changed into a prime (106985731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5101 + ... + 15491.

It is an arithmetic number, because the mean of its divisors is an integer number (3546270).

Almost surely, 2^106985736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106985736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170220960).

106985736 is an abundant number, since it is smaller than the sum of its proper divisors (233456184).

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

106985736 is a wasteful number, since it uses less digits than its factorization.

106985736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10427 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 106985736 is about 10343.3909333448. The cubic root of 106985736 is about 474.7248430392.

The spelling of 106985736 in words is "one hundred six million, nine hundred eighty-five thousand, seven hundred thirty-six".