106643952 has 140 divisors (see below), whose sum is σ = 318771264. Its totient is φ = 34525440.

The previous prime is 106643909. The next prime is 106643989. The reversal of 106643952 is 259346601.

It is a happy number.

106643952 is a `hidden beast` number, since 1 + 0 + 6 + 643 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×106643952² = 22745864996356608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 478113 + ... + 478335.

Almost surely, 2^106643952 is an apocalyptic number.

106643952 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 106643952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159385632).

106643952 is an abundant number, since it is smaller than the sum of its proper divisors (212127312).

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

106643952 is an equidigital number, since it uses as much as digits as its factorization.

106643952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106643952 is about 10326.8558622651. The cubic root of 106643952 is about 474.2187741897.

The spelling of 106643952 in words is "one hundred six million, six hundred forty-three thousand, nine hundred fifty-two".