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111404106 = 23311199871
BaseRepresentation
bin1101010001111…
…10010001001010
321202121220201000
412220332101022
5212004412411
615015435430
72521630212
oct650762112
9252556630
10111404106
1157980610
1231385b76
131a1074b8
1410b1d242
159ba8956
hex6a3e44a

111404106 has 64 divisors (see below), whose sum is σ = 284313600. Its totient is φ = 31978800.

The previous prime is 111404071. The next prime is 111404107. The reversal of 111404106 is 601404111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111404107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6351 + ... + 16221.

It is an arithmetic number, because the mean of its divisors is an integer number (4442400).

Almost surely, 2111404106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111404106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142156800).

111404106 is an abundant number, since it is smaller than the sum of its proper divisors (172909494).

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

111404106 is a wasteful number, since it uses less digits than its factorization.

111404106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9912 (or 9906 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 111404106 is about 10554.8143517544. The cubic root of 111404106 is about 481.1720576308.

Adding to 111404106 its reverse (601404111), we get a palindrome (712808217).

The spelling of 111404106 in words is "one hundred eleven million, four hundred four thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 9871 11286 19742 29613 59226 88839 108581 177678 187549 217162 266517 325743 375098 533034 562647 651486 977229 1125294 1687941 1954458 2063039 2931687 3375882 4126078 5063823 5863374 6189117 10127646 12378234 18567351 37134702 55702053 111404106