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106774122 = 237131671171
BaseRepresentation
bin1100101110100…
…11111001101010
321102220200120010
412113103321222
5204313232442
614332312350
72434364550
oct627237152
9242820503
10106774122
11552a8a84
122b9126b6
1319175c70
1410275bd0
159591b9c
hex65d3e6a

106774122 has 64 divisors (see below), whose sum is σ = 264628224. Its totient is φ = 27967680.

The previous prime is 106774121. The next prime is 106774133. The reversal of 106774122 is 221477601.

It is a super-2 number, since 2×1067741222 = 22801426257741768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106774122.

It is not an unprimeable number, because it can be changed into a prime (106774121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90597 + ... + 91767.

It is an arithmetic number, because the mean of its divisors is an integer number (4134816).

Almost surely, 2106774122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106774122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132314112).

106774122 is an abundant number, since it is smaller than the sum of its proper divisors (157854102).

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

106774122 is a wasteful number, since it uses less digits than its factorization.

106774122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 106774122 is about 10333.1564393461. The cubic root of 106774122 is about 474.4116401333.

The spelling of 106774122 in words is "one hundred six million, seven hundred seventy-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 167 182 273 334 501 546 1002 1169 1171 2171 2338 2342 3507 3513 4342 6513 7014 7026 8197 13026 15197 15223 16394 24591 30394 30446 45591 45669 49182 91182 91338 106561 195557 213122 319683 391114 586671 639366 1173342 1368899 2542241 2737798 4106697 5084482 7626723 8213394 15253446 17795687 35591374 53387061 106774122