106518736 has 20 divisors (see below), whose sum is σ = 218520612. Its totient is φ = 50126336.

The previous prime is 106518701. The next prime is 106518739. The reversal of 106518736 is 637815601.

It can be written as a sum of positive squares in 2 ways, for example, as 28302400 + 78216336 = 5320^2 + 8844^2 .

It is a super-2 number, since 2×106518736² = 22692482238075392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106518695 and 106518704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106518739) 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, 195535 + ... + 196078.

Almost surely, 2^106518736 is an apocalyptic number.

106518736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106518736 is an abundant number, since it is smaller than the sum of its proper divisors (112001876).

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

106518736 is a wasteful number, since it uses less digits than its factorization.

106518736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391638 (or 391632 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 106518736 is about 10320.7914425203. The cubic root of 106518736 is about 474.0331001709.

The spelling of 106518736 in words is "one hundred six million, five hundred eighteen thousand, seven hundred thirty-six".