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105550542416 = 24111304945959
BaseRepresentation
bin110001001001101001…
…1010111011001010000
3101002102222222010000202
41202103103113121100
53212131414324131
6120253402234332
710424432543624
oct1422323273120
9332388863022
10105550542416
1140844590840
12185587b59a8
139c5173b677
1451742b3184
152b2b68ebcb
hex18934d7650

105550542416 has 40 divisors (see below), whose sum is σ = 223117416000. Its totient is φ = 47972798720.

The previous prime is 105550542407. The next prime is 105550542467. The reversal of 105550542416 is 614245055501.

It is a super-2 number, since 2×1055505424162 (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 105550542416.

It is a congruent number.

It is an unprimeable number.

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, 2273645 + ... + 2319603.

It is an arithmetic number, because the mean of its divisors is an integer number (5577935400).

Almost surely, 2105550542416 is an apocalyptic number.

105550542416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105550542416 is an abundant number, since it is smaller than the sum of its proper divisors (117566873584).

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

105550542416 is a wasteful number, since it uses less digits than its factorization.

105550542416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59027 (or 59021 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

Adding to 105550542416 its reverse (614245055501), we get a palindrome (719795597917).

The spelling of 105550542416 in words is "one hundred five billion, five hundred fifty million, five hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 13049 26098 45959 52196 91918 104392 143539 183836 208784 287078 367672 505549 574156 735344 1011098 1148312 2022196 2296624 4044392 8088784 599718991 1199437982 2398875964 4797751928 6596908901 9595503856 13193817802 26387635604 52775271208 105550542416