106684752 has 20 divisors (see below), whose sum is σ = 275602400. Its totient is φ = 35561568.

The previous prime is 106684751. The next prime is 106684811. The reversal of 106684752 is 257486601.

It is a super-2 number, since 2×106684752² = 22763272618603008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106684752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106684751) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1111252 + ... + 1111347.

It is an arithmetic number, because the mean of its divisors is an integer number (13780120).

Almost surely, 2^106684752 is an apocalyptic number.

106684752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106684752 is an abundant number, since it is smaller than the sum of its proper divisors (168917648).

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

106684752 is a wasteful number, since it uses less digits than its factorization.

106684752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222610 (or 2222604 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 106684752 is about 10328.8311052122. The cubic root of 106684752 is about 474.2792422511.

The spelling of 106684752 in words is "one hundred six million, six hundred eighty-four thousand, seven hundred fifty-two".