106365162232 has 64 divisors (see below), whose sum is σ = 233426476800. Its totient is φ = 44486668800.

The previous prime is 106365162223. The next prime is 106365162263. The reversal of 106365162232 is 232261563601.

It is a super-2 number, since 2×106365162232² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106365162191 and 106365162200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2873619 + ... + 2910397.

It is an arithmetic number, because the mean of its divisors is an integer number (3647288700).

Almost surely, 2^106365162232 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 106365162232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116713238400).

106365162232 is an abundant number, since it is smaller than the sum of its proper divisors (127061314568).

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

106365162232 is a wasteful number, since it uses less digits than its factorization.

106365162232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38036 (or 38032 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 106365162232 in words is "one hundred six billion, three hundred sixty-five million, one hundred sixty-two thousand, two hundred thirty-two".