106901968 has 20 divisors (see below), whose sum is σ = 209026180. Its totient is φ = 52959744.

The previous prime is 106901959. The next prime is 106901969. The reversal of 106901968 is 869109601.

It can be written as a sum of positive squares in 2 ways, for example, as 51667344 + 55234624 = 7188^2 + 7432^2 .

It is a super-2 number, since 2×106901968² = 22856061524546048, 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 106901968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106901969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28905 + ... + 32392.

It is an arithmetic number, because the mean of its divisors is an integer number (10451309).

Almost surely, 2^106901968 is an apocalyptic number.

It is an amenable number.

106901968 is a deficient number, since it is larger than the sum of its proper divisors (102124212).

106901968 is a wasteful number, since it uses less digits than its factorization.

106901968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61414 (or 61408 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 106901968 is about 10339.3407913658. The cubic root of 106901968 is about 474.6009102124.

The spelling of 106901968 in words is "one hundred six million, nine hundred one thousand, nine hundred sixty-eight".