106146252 has 36 divisors (see below), whose sum is σ = 269975160. Its totient is φ = 35163072.

The previous prime is 106146241. The next prime is 106146319. The reversal of 106146252 is 252641601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106146252² = 22534053627295008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3177 + ... + 14912.

It is an arithmetic number, because the mean of its divisors is an integer number (7499310).

Almost surely, 2^106146252 is an apocalyptic number.

106146252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106146252 is an abundant number, since it is smaller than the sum of its proper divisors (163828908).

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

106146252 is a wasteful number, since it uses less digits than its factorization.

106146252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18262 (or 18257 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106146252 is about 10302.7303177362. The cubic root of 106146252 is about 473.4799080987.

Adding to 106146252 its reverse (252641601), we get a palindrome (358787853).

The spelling of 106146252 in words is "one hundred six million, one hundred forty-six thousand, two hundred fifty-two".