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105542340 = 22351992581
BaseRepresentation
bin1100100101001…
…11001011000100
321100121002212120
412102213023010
5204004323330
614250045540
72421044421
oct622471304
9240532776
10105542340
1154637582
122b4198b0
1318b343b7
1410034d48
1593ebc10
hex64a72c4

105542340 has 48 divisors (see below), whose sum is σ = 311075520. Its totient is φ = 26663040.

The previous prime is 105542317. The next prime is 105542351. The reversal of 105542340 is 43245501.

It is a super-2 number, since 2×1055423402 = 22278371065351200, 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 105542340.

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, 45151 + ... + 47430.

It is an arithmetic number, because the mean of its divisors is an integer number (6480740).

Almost surely, 2105542340 is an apocalyptic number.

105542340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105542340 is an abundant number, since it is smaller than the sum of its proper divisors (205533180).

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

105542340 is a wasteful number, since it uses less digits than its factorization.

105542340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92612 (or 92610 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105542340 is about 10273.3801642887. The cubic root of 105542340 is about 472.5802556769.

Adding to 105542340 its reverse (43245501), we get a palindrome (148787841).

The spelling of 105542340 in words is "one hundred five million, five hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 92581 185162 277743 370324 462905 555486 925810 1110972 1388715 1759039 1851620 2777430 3518078 5277117 5554860 7036156 8795195 10554234 17590390 21108468 26385585 35180780 52771170 105542340