106325784 has 160 divisors (see below), whose sum is σ = 315955200. Its totient is φ = 33359040.

The previous prime is 106325777. The next prime is 106325789. The reversal of 106325784 is 487523601.

106325784 is a `hidden beast` number, since 10 + 632 + 5 + 7 + 8 + 4 = 666.

It is a super-2 number, since 2×106325784² = 22610344686429312, 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 (106325789) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1345857 + ... + 1345935.

It is an arithmetic number, because the mean of its divisors is an integer number (1974720).

Almost surely, 2^106325784 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 106325784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157977600).

106325784 is an abundant number, since it is smaller than the sum of its proper divisors (209629416).

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

106325784 is a wasteful number, since it uses less digits than its factorization.

106325784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

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

The square root of 106325784 is about 10311.4394727409. The cubic root of 106325784 is about 473.7467001067.

The spelling of 106325784 in words is "one hundred six million, three hundred twenty-five thousand, seven hundred eighty-four".