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106775880 = 23354320693
BaseRepresentation
bin1100101110101…
…00010101001000
321102220202222020
412113110111020
5204313312010
614332324440
72434402641
oct627242510
9242822866
10106775880
11552aa332
122b913720
13191769c3
14102766c8
159592470
hex65d4548

106775880 has 64 divisors (see below), whose sum is σ = 327792960. Its totient is φ = 27810048.

The previous prime is 106775843. The next prime is 106775909. The reversal of 106775880 is 88577601.

It is a super-2 number, since 2×1067758802 = 22802177099548800, which contains 22 as substring.

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, 5187 + ... + 15506.

It is an arithmetic number, because the mean of its divisors is an integer number (5121765).

Almost surely, 2106775880 is an apocalyptic number.

106775880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106775880 is an abundant number, since it is smaller than the sum of its proper divisors (221017080).

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

106775880 is a wasteful number, since it uses less digits than its factorization.

106775880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20750 (or 20746 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 106775880 is about 10333.2415049683. The cubic root of 106775880 is about 474.4142437950.

The spelling of 106775880 in words is "one hundred six million, seven hundred seventy-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 20693 41386 62079 82772 103465 124158 165544 206930 248316 310395 413860 496632 620790 827720 889799 1241580 1779598 2483160 2669397 3559196 4448995 5338794 7118392 8897990 10677588 13346985 17795980 21355176 26693970 35591960 53387940 106775880