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105140868 = 223721631097
BaseRepresentation
bin1100100010001…
…01001010000100
321022211201011020
412101011022010
5203404001433
614233311140
72414453100
oct621051204
9238751136
10105140868
1154392988
122b2654b0
1318a23741
14dd6c900
15936ccb3
hex6445284

105140868 has 72 divisors (see below), whose sum is σ = 287394912. Its totient is φ = 29828736.

The previous prime is 105140857. The next prime is 105140879. The reversal of 105140868 is 868041501.

It is an interprime number because it is at equal distance from previous prime (105140857) and next prime (105140879).

It is a super-2 number, since 2×1051408682 = 22109204247586848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95296 + ... + 96392.

It is an arithmetic number, because the mean of its divisors is an integer number (3991596).

Almost surely, 2105140868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105140868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143697456).

105140868 is an abundant number, since it is smaller than the sum of its proper divisors (182254044).

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

105140868 is a wasteful number, since it uses less digits than its factorization.

105140868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 105140868 is about 10253.8221166548. The cubic root of 105140868 is about 471.9802790286.

The spelling of 105140868 in words is "one hundred five million, one hundred forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 163 196 294 326 489 588 652 978 1097 1141 1956 2194 2282 3291 3423 4388 4564 6582 6846 7679 7987 13164 13692 15358 15974 23037 23961 30716 31948 46074 47922 53753 92148 95844 107506 161259 178811 215012 322518 357622 536433 645036 715244 1072866 1251677 2145732 2503354 3755031 5006708 7510062 8761739 15020124 17523478 26285217 35046956 52570434 105140868