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106997268 = 22377317449
BaseRepresentation
bin1100110000010…
…10011000010100
321110100000122210
412120022120110
5204342403033
614341153420
72436314250
oct630123024
9243300583
10106997268
11554406a4
122b9bb870
13192236c1
14102d3260
1595d7d63
hex660a614

106997268 has 48 divisors (see below), whose sum is σ = 289251200. Its totient is φ = 30150144.

The previous prime is 106997251. The next prime is 106997291. The reversal of 106997268 is 862799601.

It is a super-2 number, since 2×1069972682 = 22896830718927648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2593 + ... + 14856.

Almost surely, 2106997268 is an apocalyptic number.

It is an amenable number.

106997268 is an abundant number, since it is smaller than the sum of its proper divisors (182253932).

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

106997268 is a wasteful number, since it uses less digits than its factorization.

106997268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17536 (or 17534 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 106997268 is about 10343.9483757412. The cubic root of 106997268 is about 474.7418993011.

The spelling of 106997268 in words is "one hundred six million, nine hundred ninety-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 6132 17449 34898 52347 69796 104694 122143 209388 244286 366429 488572 732858 1273777 1465716 2547554 3821331 5095108 7642662 8916439 15285324 17832878 26749317 35665756 53498634 106997268