106314252 has 48 divisors (see below), whose sum is σ = 279358464. Its totient is φ = 31176000.

The previous prime is 106314251. The next prime is 106314259. The reversal of 106314252 is 252413601.

It is a super-2 number, since 2×106314252² = 22605440356639008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106314251) 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, 8899 + ... + 17082.

It is an arithmetic number, because the mean of its divisors is an integer number (5819968).

Almost surely, 2^106314252 is an apocalyptic number.

106314252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106314252 is an abundant number, since it is smaller than the sum of its proper divisors (173044212).

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

106314252 is a wasteful number, since it uses less digits than its factorization.

106314252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26030 (or 26028 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106314252 is about 10310.8802727992. The cubic root of 106314252 is about 473.7295721055.

Adding to 106314252 its reverse (252413601), we get a palindrome (358727853).

The spelling of 106314252 in words is "one hundred six million, three hundred fourteen thousand, two hundred fifty-two".