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105341322645 = 32513499360863
BaseRepresentation
bin110001000011011010…
…1010000010110010101
3101001220102021122110100
41202012311100112111
53211214334311040
6120220530044313
710416312316506
oct1420665202625
9331812248410
10105341322645
1140747480939
12184ba719699
139c1a2a69a0
1451545b0bad
152b18113b30
hex1886d50595

105341322645 has 48 divisors (see below), whose sum is σ = 197031744000. Its totient is φ = 51756271488.

The previous prime is 105341322631. The next prime is 105341322683. The reversal of 105341322645 is 546223143501.

105341322645 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 1 + 3 + 2 + 2 + 645 = 666.

It is not a de Polignac number, because 105341322645 - 28 = 105341322389 is a prime.

It is a super-2 number, since 2×1053413226452 (a number of 23 digits) 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 47 ways as a sum of consecutive naturals, for example, 111484 + ... + 472346.

It is an arithmetic number, because the mean of its divisors is an integer number (4104828000).

Almost surely, 2105341322645 is an apocalyptic number.

105341322645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105341322645 is a deficient number, since it is larger than the sum of its proper divisors (91690421355).

105341322645 is a wasteful number, since it uses less digits than its factorization.

105341322645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361386 (or 361383 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 105341322645 in words is "one hundred five billion, three hundred forty-one million, three hundred twenty-two thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 499 585 1497 2495 4491 6487 7485 19461 22455 32435 58383 97305 291915 360863 1082589 1804315 3247767 4691219 5412945 14073657 16238835 23456095 42220971 70368285 180070637 211104855 540211911 900353185 1620635733 2340918281 2701059555 7022754843 8103178665 11704591405 21068264529 35113774215 105341322645