106782546 has 32 divisors (see below), whose sum is σ = 242101440. Its totient is φ = 31126464.

The previous prime is 106782541. The next prime is 106782551. The reversal of 106782546 is 645287601.

It is an interprime number because it is at equal distance from previous prime (106782541) and next prime (106782551).

It is a super-2 number, since 2×106782546² = 22805024260484232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (106782541) 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, 34545 + ... + 37508.

It is an arithmetic number, because the mean of its divisors is an integer number (7565670).

Almost surely, 2^106782546 is an apocalyptic number.

106782546 is an abundant number, since it is smaller than the sum of its proper divisors (135318894).

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

106782546 is a wasteful number, since it uses less digits than its factorization.

106782546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72090.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 106782546 is about 10333.5640511878. The cubic root of 106782546 is about 474.4241161231.

The spelling of 106782546 in words is "one hundred six million, seven hundred eighty-two thousand, five hundred forty-six".