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105036887681 = 1116635741917
BaseRepresentation
bin110000111010010101…
…1111011011010000001
3101001010012102202012022
41201310223323122001
53210103420401211
6120130413011225
710405624546145
oct1416453733201
9331105382168
10105036887681
11406006483a0
1218434783b15
139b9c1b535b
145125da5225
152aeb52abdb
hex1874afb681

105036887681 has 8 divisors (see below), whose sum is σ = 114654618624. Its totient is φ = 95430643920.

The previous prime is 105036887671. The next prime is 105036887689. The reversal of 105036887681 is 186788630501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105036887681 - 230 = 103963145857 is a prime.

It is a super-2 number, since 2×1050368876812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105036887689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2852666 + ... + 2889251.

It is an arithmetic number, because the mean of its divisors is an integer number (14331827328).

Almost surely, 2105036887681 is an apocalyptic number.

105036887681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105036887681 is a deficient number, since it is larger than the sum of its proper divisors (9617730943).

105036887681 is a wasteful number, since it uses less digits than its factorization.

105036887681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743591.

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 105036887681 in words is "one hundred five billion, thirty-six million, eight hundred eighty-seven thousand, six hundred eighty-one".

Divisors: 1 11 1663 18293 5741917 63161087 9548807971 105036887681