106911040 has 56 divisors (see below), whose sum is σ = 258802632. Its totient is φ = 42055680.

The previous prime is 106911031. The next prime is 106911053. The reversal of 106911040 is 40119601.

It can be written as a sum of positive squares in 4 ways, for example, as 16128256 + 90782784 = 4016^2 + 9528^2 .

It is a super-2 number, since 2×106911040² = 22859940947763200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16782 + ... + 22258.

Almost surely, 2^106911040 is an apocalyptic number.

106911040 is a gapful number since it is divisible by the number (10) 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 106911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129401316).

106911040 is an abundant number, since it is smaller than the sum of its proper divisors (151891592).

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

106911040 is an equidigital number, since it uses as much as digits as its factorization.

106911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 106911040 is about 10339.7794947475. The cubic root of 106911040 is about 474.6143351529.

The spelling of 106911040 in words is "one hundred six million, nine hundred eleven thousand, forty".