106683408 has 60 divisors (see below), whose sum is σ = 321537580. Its totient is φ = 32825088.

The previous prime is 106683403. The next prime is 106683419. The reversal of 106683408 is 804386601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 55532304 + 51151104 = 7452^2 + 7152^2 .

It is a super-2 number, since 2×106683408² = 22762699084988928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106683403) 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 11 ways as a sum of consecutive naturals, for example, 26623 + ... + 30366.

Almost surely, 2^106683408 is an apocalyptic number.

106683408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106683408 is an abundant number, since it is smaller than the sum of its proper divisors (214854172).

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

106683408 is a wasteful number, since it uses less digits than its factorization.

106683408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57016 (or 57007 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106683408 is about 10328.7660444024. The cubic root of 106683408 is about 474.2772506076.

The spelling of 106683408 in words is "one hundred six million, six hundred eighty-three thousand, four hundred eight".