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105606740 = 22553671487
BaseRepresentation
bin1100100101101…
…10111001010100
321100201101012202
412102312321110
5204013403430
614251304032
72421433241
oct622667124
9240641182
10105606740
11546809a8
122b44b018
1318b577c5
14100505c8
159410d45
hex64b6e54

105606740 has 48 divisors (see below), whose sum is σ = 229485312. Its totient is φ = 40799616.

The previous prime is 105606707. The next prime is 105606757. The reversal of 105606740 is 47606501.

It is a super-2 number, since 2×1056067402 = 22305567066855200, 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, 70277 + ... + 71763.

It is an arithmetic number, because the mean of its divisors is an integer number (4780944).

Almost surely, 2105606740 is an apocalyptic number.

105606740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105606740 is an abundant number, since it is smaller than the sum of its proper divisors (123878572).

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

105606740 is a wasteful number, since it uses less digits than its factorization.

105606740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 105606740 is about 10276.5140003797. The cubic root of 105606740 is about 472.6763560680.

The spelling of 105606740 in words is "one hundred five million, six hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 53 67 106 134 212 265 268 335 530 670 1060 1340 1487 2974 3551 5948 7102 7435 14204 14870 17755 29740 35510 71020 78811 99629 157622 199258 315244 394055 398516 498145 788110 996290 1576220 1992580 5280337 10560674 21121348 26401685 52803370 105606740