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105742344 = 2336017331
BaseRepresentation
bin1100100110110…
…00000000001000
321100222021020010
412103120000020
5204032223334
614254231520
72422536501
oct623300010
9240867203
10105742344
1154763874
122b4b55a0
1318ba4446
1410087ba8
15943b0e9
hex64d8008

105742344 has 32 divisors (see below), whose sum is σ = 264831840. Its totient is φ = 35184000.

The previous prime is 105742313. The next prime is 105742379. The reversal of 105742344 is 443247501.

It is a super-2 number, since 2×1057423442 = 22362886629228672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10759 + ... + 18089.

It is an arithmetic number, because the mean of its divisors is an integer number (8275995).

Almost surely, 2105742344 is an apocalyptic number.

It is an amenable number.

105742344 is an abundant number, since it is smaller than the sum of its proper divisors (159089496).

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

105742344 is a wasteful number, since it uses less digits than its factorization.

105742344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7941 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 105742344 is about 10283.1096464056. The cubic root of 105742344 is about 472.8785823959.

Adding to 105742344 its reverse (443247501), we get a palindrome (548989845).

The spelling of 105742344 in words is "one hundred five million, seven hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 601 1202 1803 2404 3606 4808 7212 7331 14424 14662 21993 29324 43986 58648 87972 175944 4405931 8811862 13217793 17623724 26435586 35247448 52871172 105742344