106932924 has 144 divisors (see below), whose sum is σ = 331531200. Its totient is φ = 28366848.

The previous prime is 106932913. The next prime is 106932929. The reversal of 106932924 is 429239601.

It is a super-2 number, since 2×106932924² = 22869300470379552, 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 not an unprimeable number, because it can be changed into a prime (106932929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466842 + ... + 467070.

It is an arithmetic number, because the mean of its divisors is an integer number (2302300).

Almost surely, 2^106932924 is an apocalyptic number.

106932924 is a gapful number since it is divisible by the number (14) 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 106932924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165765600).

106932924 is an abundant number, since it is smaller than the sum of its proper divisors (224598276).

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

106932924 is a wasteful number, since it uses less digits than its factorization.

106932924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106932924 is about 10340.8376836695. The cubic root of 106932924 is about 474.6467164408.

The spelling of 106932924 in words is "one hundred six million, nine hundred thirty-two thousand, nine hundred twenty-four".