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105142340 = 2255257117
BaseRepresentation
bin1100100010001…
…01100001000100
321022211210011202
412101011201010
5203404023330
614233322032
72414460302
oct621054104
9238753152
10105142340
1154393aa6
122b266318
1318a24304
14dd6d272
15936d445
hex6445844

105142340 has 12 divisors (see below), whose sum is σ = 220798956. Its totient is φ = 42056928.

The previous prime is 105142339. The next prime is 105142343. The reversal of 105142340 is 43241501.

It can be written as a sum of positive squares in 2 ways, for example, as 22259524 + 82882816 = 4718^2 + 9104^2 .

It is a super-2 number, since 2×1051423402 = 22109823321351200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5257117 = 105142340 / (1 + 0 + 5 + 1 + 4 + 2 + 3 + 4 + 0).

It is not an unprimeable number, because it can be changed into a prime (105142343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2628539 + ... + 2628578.

It is an arithmetic number, because the mean of its divisors is an integer number (18399913).

Almost surely, 2105142340 is an apocalyptic number.

105142340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105142340 is an abundant number, since it is smaller than the sum of its proper divisors (115656616).

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

105142340 is a wasteful number, since it uses less digits than its factorization.

105142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257126 (or 5257124 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105142340 is about 10253.8938945164. The cubic root of 105142340 is about 471.9824816346.

Adding to 105142340 its reverse (43241501), we get a palindrome (148383841).

The spelling of 105142340 in words is "one hundred five million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 5257117 10514234 21028468 26285585 52571170 105142340