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106874244 = 223217232
BaseRepresentation
bin1100101111011…
…00010110000100
321110002202220100
412113230112010
5204324433434
614334404100
72435262501
oct627542604
9243082810
10106874244
1155367224
122b960630
13191ac6c9
14102a04a8
1595b1699
hex65ec584

106874244 has 27 divisors (see below), whose sum is σ = 270311223. Its totient is φ = 35604072.

The previous prime is 106874239. The next prime is 106874279. The reversal of 106874244 is 442478601.

The square root of 106874244 is 10338.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1068742442 = 22844208061143072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 106874199 and 106874208.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 61167 + ... + 62889.

Almost surely, 2106874244 is an apocalyptic number.

106874244 is the 10338-th square number.

It is an amenable number.

106874244 is an abundant number, since it is smaller than the sum of its proper divisors (163436979).

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

106874244 is an equidigital number, since it uses as much as digits as its factorization.

106874244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The cubic root of 106874244 is about 474.5598789339.

Multiplying 106874244 by its sum of digits (36), we get a square (3847472784 = 620282).

106874244 divided by its sum of digits (36) gives a square (2968729 = 17232).

The spelling of 106874244 in words is "one hundred six million, eight hundred seventy-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1723 3446 5169 6892 10338 15507 20676 31014 62028 2968729 5937458 8906187 11874916 17812374 26718561 35624748 53437122 106874244