106131432 has 64 divisors (see below), whose sum is σ = 292766400. Its totient is φ = 31792640.

The previous prime is 106131413. The next prime is 106131449. The reversal of 106131432 is 234131601.

It is a super-2 number, since 2×106131432² = 22527761716741248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106131399 and 106131408.

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, 21238 + ... + 25754.

It is an arithmetic number, because the mean of its divisors is an integer number (4574475).

Almost surely, 2^106131432 is an apocalyptic number.

106131432 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 106131432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146383200).

106131432 is an abundant number, since it is smaller than the sum of its proper divisors (186634968).

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

106131432 is a wasteful number, since it uses less digits than its factorization.

106131432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106131432 is about 10302.0110658065. The cubic root of 106131432 is about 473.4578715259.

The spelling of 106131432 in words is "one hundred six million, one hundred thirty-one thousand, four hundred thirty-two".