106381572 has 48 divisors (see below), whose sum is σ = 274627584. Its totient is φ = 31780000.

The previous prime is 106381571. The next prime is 106381591. The reversal of 106381572 is 275183601.

It is a super-2 number, since 2×106381572² = 22634077722382368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (106381571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3697 + ... + 15047.

It is an arithmetic number, because the mean of its divisors is an integer number (5721408).

Almost surely, 2^106381572 is an apocalyptic number.

106381572 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 106381572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137313792).

106381572 is an abundant number, since it is smaller than the sum of its proper divisors (168246012).

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

106381572 is a wasteful number, since it uses less digits than its factorization.

106381572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11438 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 106381572 is about 10314.1442689154. The cubic root of 106381572 is about 473.8295422260.

It can be divided in two parts, 106381 and 572, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 106381572 in words is "one hundred six million, three hundred eighty-one thousand, five hundred seventy-two".