106583040 has 220 divisors, whose sum is σ = 383419476. Its totient is φ = 28311552.

The previous prime is 106582967. The next prime is 106583093. The reversal of 106583040 is 40385601.

106583040 is a `hidden beast` number, since 1 + 0 + 658 + 3 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79709184 + 26873856 = 8928^2 + 5184^2 .

It is a super-2 number, since 2×106583040² = 22719888831283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106582995 and 106583013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414592 + ... + 414848.

Almost surely, 2^106583040 is an apocalyptic number.

106583040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191709738).

106583040 is an abundant number, since it is smaller than the sum of its proper divisors (276836436).

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

106583040 is an equidigital number, since it uses as much as digits as its factorization.

106583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106583040 is about 10323.9062374665. The cubic root of 106583040 is about 474.1284702243.

The spelling of 106583040 in words is "one hundred six million, five hundred eighty-three thousand, forty".