106380832 has 48 divisors (see below), whose sum is σ = 222862752. Its totient is φ = 49812480.

The previous prime is 106380817. The next prime is 106380853. The reversal of 106380832 is 238083601.

It is a super-2 number, since 2×106380832² = 22633762834024448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106380794 and 106380803.

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 7 ways as a sum of consecutive naturals, for example, 153607 + ... + 154297.

It is an arithmetic number, because the mean of its divisors is an integer number (4642974).

Almost surely, 2^106380832 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 106380832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111431376).

106380832 is an abundant number, since it is smaller than the sum of its proper divisors (116481920).

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

106380832 is a wasteful number, since it uses less digits than its factorization.

106380832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 106380832 is about 10314.1083957849. The cubic root of 106380832 is about 473.8284435562.

The spelling of 106380832 in words is "one hundred six million, three hundred eighty thousand, eight hundred thirty-two".