106223952 has 60 divisors (see below), whose sum is σ = 278965280. Its totient is φ = 34829760.

The previous prime is 106223947. The next prime is 106223977. The reversal of 106223952 is 259322601.

It is a super-2 number, since 2×106223952² = 22567055956996608, which contains 22 as substring.

It is a congruent number.

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, 241749 + ... + 242187.

Almost surely, 2^106223952 is an apocalyptic number.

106223952 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 106223952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139482640).

106223952 is an abundant number, since it is smaller than the sum of its proper divisors (172741328).

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

106223952 is an equidigital number, since it uses as much as digits as its factorization.

106223952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 106223952 is about 10306.5004730025. The cubic root of 106223952 is about 473.5954104209.

The spelling of 106223952 in words is "one hundred six million, two hundred twenty-three thousand, nine hundred fifty-two".