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105090138 = 23237157793
BaseRepresentation
bin1100100001110…
…00110001011010
321022202010120100
412100320301122
5203400341023
614232240230
72414152146
oct620706132
9238663510
10105090138
115435885a
122b240076
1318a0661a
14dd58226
15935cc43
hex6438c5a

105090138 has 24 divisors (see below), whose sum is σ = 233850708. Its totient is φ = 34083072.

The previous prime is 105090137. The next prime is 105090163. The reversal of 105090138 is 831090501.

It can be written as a sum of positive squares in 2 ways, for example, as 99740169 + 5349969 = 9987^2 + 2313^2 .

It is a super-2 number, since 2×1050901382 = 22087874209718088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105090131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78231 + ... + 79562.

Almost surely, 2105090138 is an apocalyptic number.

105090138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105090138 is an abundant number, since it is smaller than the sum of its proper divisors (128760570).

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

105090138 is a wasteful number, since it uses less digits than its factorization.

105090138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157838 (or 157835 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105090138 is about 10251.3481064687. The cubic root of 105090138 is about 471.9043573566.

The spelling of 105090138 in words is "one hundred five million, ninety thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 157793 315586 473379 946758 1420137 2840274 5838341 11676682 17515023 35030046 52545069 105090138