106131132 has 18 divisors (see below), whose sum is σ = 268276008. Its totient is φ = 35377032.

The previous prime is 106131127. The next prime is 106131139. The reversal of 106131132 is 231131601.

106131132 is a `hidden beast` number, since 10 + 613 + 11 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×106131132² = 22527634359202848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106131139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1474008 + ... + 1474079.

Almost surely, 2^106131132 is an apocalyptic number.

106131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106131132 is an abundant number, since it is smaller than the sum of its proper divisors (162144876).

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

106131132 is a wasteful number, since it uses less digits than its factorization.

106131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948097 (or 2948092 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106131132 is about 10301.9965055323. The cubic root of 106131132 is about 473.4574254203.

Adding to 106131132 its reverse (231131601), we get a palindrome (337262733).

The spelling of 106131132 in words is "one hundred six million, one hundred thirty-one thousand, one hundred thirty-two".