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105106011114 = 23131817444823
BaseRepresentation
bin110000111100011001…
…1100111001111101010
3101001022000111120201110
41201320303213033222
53210224114323424
6120141322331150
710410424232166
oct1417063471752
9331260446643
10105106011114
114063666a8a5
1218453959ab6
139bb0607bb0
145131239ca6
152b02631c29
hex1878ce73ea

105106011114 has 32 divisors (see below), whose sum is σ = 227632938624. Its totient is φ = 32161631040.

The previous prime is 105106011103. The next prime is 105106011121. The reversal of 105106011114 is 411110601501.

It is a super-2 number, since 2×1051060111142 (a number of 23 digits) contains 22 as substring.

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, 3708294 + ... + 3736529.

It is an arithmetic number, because the mean of its divisors is an integer number (7113529332).

Almost surely, 2105106011114 is an apocalyptic number.

105106011114 is an abundant number, since it is smaller than the sum of its proper divisors (122526927510).

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

105106011114 is a wasteful number, since it uses less digits than its factorization.

105106011114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7445022.

The product of its (nonzero) digits is 120, while the sum is 21.

Adding to 105106011114 its reverse (411110601501), we get a palindrome (516216612615).

The spelling of 105106011114 in words is "one hundred five billion, one hundred six million, eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 181 362 543 1086 2353 4706 7059 14118 7444823 14889646 22334469 44668938 96782699 193565398 290348097 580696194 1347512963 2695025926 4042538889 8085077778 17517668519 35035337038 52553005557 105106011114