106267252 has 48 divisors (see below), whose sum is σ = 236799360. Its totient is φ = 40586112.

The previous prime is 106267237. The next prime is 106267253. The reversal of 106267252 is 252762601.

It is a super-2 number, since 2×106267252² = 22585457695263008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106267253) 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, 5523 + ... + 15589.

It is an arithmetic number, because the mean of its divisors is an integer number (4933320).

Almost surely, 2^106267252 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 106267252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118399680).

106267252 is an abundant number, since it is smaller than the sum of its proper divisors (130532108).

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

106267252 is a wasteful number, since it uses less digits than its factorization.

106267252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 106267252 is about 10308.6008749975. The cubic root of 106267252 is about 473.6597521415.

The spelling of 106267252 in words is "one hundred six million, two hundred sixty-seven thousand, two hundred fifty-two".