Search a number
-
+
105374892 = 22372179209
BaseRepresentation
bin1100100011111…
…10010010101100
321100021121011210
412101332102230
5203433444032
614242314420
72416446300
oct621762254
9240247153
10105374892
1154532797
122b358a10
1318aa610c
14ddcdd00
1593b72cc
hex647e4ac

105374892 has 36 divisors (see below), whose sum is σ = 286019160. Its totient is φ = 30106944.

The previous prime is 105374887. The next prime is 105374911. The reversal of 105374892 is 298473501.

It is a super-2 number, since 2×1053748922 = 22207735728023328, 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 105374892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89017 + ... + 90192.

Almost surely, 2105374892 is an apocalyptic number.

105374892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105374892 is an abundant number, since it is smaller than the sum of its proper divisors (180644268).

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

105374892 is a wasteful number, since it uses less digits than its factorization.

105374892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179230 (or 179221 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 105374892 is about 10265.2273233475. The cubic root of 105374892 is about 472.3301996178.

The spelling of 105374892 in words is "one hundred five million, three hundred seventy-four thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 179209 358418 537627 716836 1075254 1254463 2150508 2508926 3763389 5017852 7526778 8781241 15053556 17562482 26343723 35124964 52687446 105374892