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105406497436 = 2259568978509
BaseRepresentation
bin110001000101010110…
…1111000001010011100
3101002001221220212110111
41202022231320022130
53211333030404221
6120231215015404
710421033305462
oct1421255701234
9332057825414
10105406497436
11407802466a9
121851850a564
139c2a946156
14515d0d8832
152b1dbd9be1
hex188ab7829c

105406497436 has 24 divisors (see below), whose sum is σ = 187623198000. Its totient is φ = 51800206464.

The previous prime is 105406497379. The next prime is 105406497437. The reversal of 105406497436 is 634794604501.

It is a super-2 number, since 2×1054064974362 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105406497436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105406497437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1303350 + ... + 1381858.

It is an arithmetic number, because the mean of its divisors is an integer number (7817633250).

Almost surely, 2105406497436 is an apocalyptic number.

It is an amenable number.

105406497436 is a deficient number, since it is larger than the sum of its proper divisors (82216700564).

105406497436 is a wasteful number, since it uses less digits than its factorization.

105406497436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84261 (or 84259 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 105406497436 in words is "one hundred five billion, four hundred six million, four hundred ninety-seven thousand, four hundred thirty-six".

Divisors: 1 2 4 59 118 236 5689 11378 22756 78509 157018 314036 335651 671302 1342604 4632031 9264062 18528124 446637701 893275402 1786550804 26351624359 52703248718 105406497436