106752384 has 256 divisors, whose sum is σ = 352512000. Its totient is φ = 31629312.

The previous prime is 106752377. The next prime is 106752389. The reversal of 106752384 is 483257601.

It is a super-2 number, since 2×106752384² = 22792142979366912, 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 (106752389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351257 + ... + 1351335.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^106752384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106752384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

106752384 is an abundant number, since it is smaller than the sum of its proper divisors (245759616).

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

106752384 is a wasteful number, since it uses less digits than its factorization.

106752384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 106752384 is about 10332.1045290880. The cubic root of 106752384 is about 474.3794430055.

The spelling of 106752384 in words is "one hundred six million, seven hundred fifty-two thousand, three hundred eighty-four".