106372 has 24 divisors (see below), whose sum is σ = 221760. Its totient is φ = 43680.

The previous prime is 106367. The next prime is 106373. The reversal of 106372 is 273601.

It is a super-2 number, since 2×106372² = 22630004768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747 + ... + 877.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2¹⁰⁶³⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

106372 is an abundant number, since it is smaller than the sum of its proper divisors (115388).

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

106372 is a wasteful number, since it uses less digits than its factorization.

106372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 106372 is about 326.1472060282. The cubic root of 106372 is about 47.3815330390.

Adding to 106372 its reverse (273601), we get a palindrome (379973).

The spelling of 106372 in words is "one hundred six thousand, three hundred seventy-two".