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106113224 = 237338671
BaseRepresentation
bin1100101001100…
…10100011001000
321101200002222102
412110302203020
5204131110344
614310212532
72425643000
oct624624310
9241602872
10106113224
1154997488
122b654148
1318ca41b9
1410143000
1594b0e4e
hex65328c8

106113224 has 32 divisors (see below), whose sum is σ = 232032000. Its totient is φ = 45475920.

The previous prime is 106113223. The next prime is 106113229. The reversal of 106113224 is 422311601.

It is a super-2 number, since 2×1061132242 = 22520032615348352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106113196 and 106113205.

It is not an unprimeable number, because it can be changed into a prime (106113223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16592 + ... + 22079.

It is an arithmetic number, because the mean of its divisors is an integer number (7251000).

Almost surely, 2106113224 is an apocalyptic number.

106113224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106113224 is an abundant number, since it is smaller than the sum of its proper divisors (125918776).

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

106113224 is an equidigital number, since it uses as much as digits as its factorization.

106113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38698 (or 38680 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 106113224 is about 10301.1273169493. The cubic root of 106113224 is about 473.4307943638.

Adding to 106113224 its reverse (422311601), we get a palindrome (528424825).

The spelling of 106113224 in words is "one hundred six million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744 38671 77342 154684 270697 309368 541394 1082788 1894879 2165576 3789758 7579516 13264153 15159032 26528306 53056612 106113224