106315132 has 48 divisors (see below), whose sum is σ = 237646080. Its totient is φ = 40406400.

The previous prime is 106315103. The next prime is 106315159. The reversal of 106315132 is 231513601.

It is a happy number.

It is a super-2 number, since 2×106315132² = 22605814584354848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 8419 + ... + 16837.

It is an arithmetic number, because the mean of its divisors is an integer number (4950960).

Almost surely, 2^106315132 is an apocalyptic number.

106315132 is the 8419-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106315132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118823040).

106315132 is an abundant number, since it is smaller than the sum of its proper divisors (131330948).

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

106315132 is a wasteful number, since it uses less digits than its factorization.

106315132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8482 (or 8480 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 106315132 is about 10310.9229460800. The cubic root of 106315132 is about 473.7308791767.

Adding to 106315132 its reverse (231513601), we get a palindrome (337828733).

The spelling of 106315132 in words is "one hundred six million, three hundred fifteen thousand, one hundred thirty-two".