106699712 has 112 divisors (see below), whose sum is σ = 256202688. Its totient is φ = 43130880.

The previous prime is 106699699. The next prime is 106699717. The reversal of 106699712 is 217996601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106699712² = 22769657081765888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 106699712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106699717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679538 + ... + 679694.

It is an arithmetic number, because the mean of its divisors is an integer number (2287524).

Almost surely, 2^106699712 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 106699712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128101344).

106699712 is an abundant number, since it is smaller than the sum of its proper divisors (149502976).

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

106699712 is a wasteful number, since it uses less digits than its factorization.

106699712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 106699712 is about 10329.5552663220. Note that the first 3 decimals coincide. The cubic root of 106699712 is about 474.3014100108.

The spelling of 106699712 in words is "one hundred six million, six hundred ninety-nine thousand, seven hundred twelve".