106132572 has 96 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 27988416.

The previous prime is 106132571. The next prime is 106132573. The reversal of 106132572 is 275231601.

It is a happy number.

106132572 is a `hidden beast` number, since 1 + 0 + 61 + 32 + 572 = 666.

It is an interprime number because it is at equal distance from previous prime (106132571) and next prime (106132573).

It is a super-2 number, since 2×106132572² = 22528245678670368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106132571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4429 + ... + 15227.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^106132572 is an apocalyptic number.

106132572 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 106132572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

106132572 is an abundant number, since it is smaller than the sum of its proper divisors (232555428).

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

106132572 is a wasteful number, since it uses less digits than its factorization.

106132572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10832 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106132572 is about 10302.0663946608. The cubic root of 106132572 is about 473.4595667197.

It can be divided in two parts, 1061 and 32572, that added together give a palindrome (33633).

The spelling of 106132572 in words is "one hundred six million, one hundred thirty-two thousand, five hundred seventy-two".