106290132 has 48 divisors (see below), whose sum is σ = 270338880. Its totient is φ = 32306688.

The previous prime is 106290043. The next prime is 106290139. The reversal of 106290132 is 231092601.

It is a super-2 number, since 2×106290132² = 22595184321154848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106290139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8844 + ... + 17052.

It is an arithmetic number, because the mean of its divisors is an integer number (5632060).

Almost surely, 2^106290132 is an apocalyptic number.

106290132 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 106290132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135169440).

106290132 is an abundant number, since it is smaller than the sum of its proper divisors (164048748).

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

106290132 is a wasteful number, since it uses less digits than its factorization.

106290132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106290132 is about 10309.7105681973. The cubic root of 106290132 is about 473.6937436652.

The spelling of 106290132 in words is "one hundred six million, two hundred ninety thousand, one hundred thirty-two".