106583330 has 24 divisors (see below), whose sum is σ = 223173468. Its totient is φ = 36542688.

The previous prime is 106583317. The next prime is 106583341. The reversal of 106583330 is 33385601.

It can be written as a sum of positive squares in 2 ways, for example, as 98386561 + 8196769 = 9919^2 + 2863^2 .

It is a super-2 number, since 2×106583330² = 22720012467777800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106583293 and 106583302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108269 + ... + 109248.

Almost surely, 2^106583330 is an apocalyptic number.

106583330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106583330 is an abundant number, since it is smaller than the sum of its proper divisors (116590138).

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

106583330 is a wasteful number, since it uses less digits than its factorization.

106583330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217538 (or 217531 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 106583330 is about 10323.9202825283. The cubic root of 106583330 is about 474.1289002400.

The spelling of 106583330 in words is "one hundred six million, five hundred eighty-three thousand, three hundred thirty".