106811392 has 52 divisors (see below), whose sum is σ = 216733860. Its totient is φ = 52625408.

The previous prime is 106811387. The next prime is 106811413. The reversal of 106811392 is 293118601.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 41783296 = 8064^2 + 6464^2 .

It is a super-2 number, since 2×106811392² = 22817346921955328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 364398 + ... + 364690.

Almost surely, 2^106811392 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 106811392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108366930).

106811392 is an abundant number, since it is smaller than the sum of its proper divisors (109922468).

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

106811392 is an frugal number, since it uses more digits than its factorization.

106811392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 106811392 is about 10334.9596999698. The cubic root of 106811392 is about 474.4668322362.

Adding to 106811392 its reverse (293118601), we get a palindrome (399929993).

The spelling of 106811392 in words is "one hundred six million, eight hundred eleven thousand, three hundred ninety-two".