106905732 has 48 divisors (see below), whose sum is σ = 260467200. Its totient is φ = 34087680.

The previous prime is 106905731. The next prime is 106905749. The reversal of 106905732 is 237509601.

It is a super-2 number, since 2×106905732² = 22857671068911648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106905693 and 106905702.

It is not an unprimeable number, because it can be changed into a prime (106905731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31494 + ... + 34722.

It is an arithmetic number, because the mean of its divisors is an integer number (5426400).

Almost surely, 2^106905732 is an apocalyptic number.

106905732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106905732 is an abundant number, since it is smaller than the sum of its proper divisors (153561468).

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

106905732 is a wasteful number, since it uses less digits than its factorization.

106905732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 106905732 is about 10339.5228129735. The cubic root of 106905732 is about 474.6064803526.

The spelling of 106905732 in words is "one hundred six million, nine hundred five thousand, seven hundred thirty-two".