106163232 has 96 divisors (see below), whose sum is σ = 337260672. Its totient is φ = 28545024.

The previous prime is 106163219. The next prime is 106163261. The reversal of 106163232 is 232361601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106163232² = 22541263657371648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6778 + ... + 16070.

It is an arithmetic number, because the mean of its divisors is an integer number (3513132).

Almost surely, 2^106163232 is an apocalyptic number.

106163232 is a gapful number since it is divisible by the number (12) 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 106163232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168630336).

106163232 is an abundant number, since it is smaller than the sum of its proper divisors (231097440).

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

106163232 is a wasteful number, since it uses less digits than its factorization.

106163232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9330 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 106163232 is about 10303.5543381884. The cubic root of 106163232 is about 473.5051539585.

The spelling of 106163232 in words is "one hundred six million, one hundred sixty-three thousand, two hundred thirty-two".