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105442140 = 22351998831
BaseRepresentation
bin1100100100011…
…10101101011100
321100102000102110
412102032231130
5203443122030
614243554020
72420146326
oct622165534
9240360373
10105442140
1154579271
122b38b910
1318aca8cb
141000a616
1593cc1b0
hex648eb5c

105442140 has 48 divisors (see below), whose sum is σ = 296755200. Its totient is φ = 27973440.

The previous prime is 105442111. The next prime is 105442151. The reversal of 105442140 is 41244501.

It is a happy number.

It is a super-2 number, since 2×1054421402 = 22236089775559200, which contains 22 as substring.

It is a congruent number.

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, 7525 + ... + 16355.

It is an arithmetic number, because the mean of its divisors is an integer number (6182400).

Almost surely, 2105442140 is an apocalyptic number.

105442140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105442140 is an abundant number, since it is smaller than the sum of its proper divisors (191313060).

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

105442140 is a wasteful number, since it uses less digits than its factorization.

105442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9040 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 105442140 is about 10268.5023250716. The cubic root of 105442140 is about 472.4306552583.

Adding to 105442140 its reverse (41244501), we get a palindrome (146686641).

The spelling of 105442140 in words is "one hundred five million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 597 796 995 1194 1990 2388 2985 3980 5970 8831 11940 17662 26493 35324 44155 52986 88310 105972 132465 176620 264930 529860 1757369 3514738 5272107 7029476 8786845 10544214 17573690 21088428 26360535 35147380 52721070 105442140