106724832 has 96 divisors (see below), whose sum is σ = 288745632. Its totient is φ = 34504704.

The previous prime is 106724809. The next prime is 106724833. The reversal of 106724832 is 238427601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106724832² = 22780379530856448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106724793 and 106724802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106724833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679698 + ... + 679854.

It is an arithmetic number, because the mean of its divisors is an integer number (3007767).

Almost surely, 2^106724832 is an apocalyptic number.

106724832 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 106724832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144372816).

106724832 is an abundant number, since it is smaller than the sum of its proper divisors (182020800).

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

106724832 is a wasteful number, since it uses less digits than its factorization.

106724832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 106724832 is about 10330.7711232028. The cubic root of 106724832 is about 474.3386282198.

The spelling of 106724832 in words is "one hundred six million, seven hundred twenty-four thousand, eight hundred thirty-two".