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105523462121 = 7112003684191
BaseRepresentation
bin110001001000110110…
…0000011111111101001
3101002101010000021211212
41202101230003333221
53212103001241441
6120250554002505
710423653425420
oct1422154037751
9332333007755
10105523462121
1140830274a30
121854b716435
139c48c4961c
1451708642b7
152b290e0eeb
hex1891b03fe9

105523462121 has 16 divisors (see below), whose sum is σ = 131627593728. Its totient is φ = 82184902800.

The previous prime is 105523462103. The next prime is 105523462123. The reversal of 105523462121 is 121264325501.

It is not a de Polignac number, because 105523462121 - 214 = 105523445737 is a prime.

It is a super-2 number, since 2×1055234621212 (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 (105523462123) 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 15 ways as a sum of consecutive naturals, for example, 187865 + ... + 496326.

It is an arithmetic number, because the mean of its divisors is an integer number (8226724608).

Almost surely, 2105523462121 is an apocalyptic number.

105523462121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105523462121 is a deficient number, since it is larger than the sum of its proper divisors (26104131607).

105523462121 is a wasteful number, since it uses less digits than its factorization.

105523462121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686212.

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 105523462121 its reverse (121264325501), we get a palindrome (226787787622).

The spelling of 105523462121 in words is "one hundred five billion, five hundred twenty-three million, four hundred sixty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 77 2003 14021 22033 154231 684191 4789337 7526101 52682707 1370434573 9593042011 15074780303 105523462121