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105455244132 = 22327795297129
BaseRepresentation
bin110001000110110011…
…1110101001101100100
3101002012100122110100200
41202031213311031210
53211433020303012
6120240115510500
710422164533230
oct1421547651544
9332170573320
10105455244132
11407a5810827
12185308b8430
139c37a82c54
1451657875c0
152b231183dc
hex188d9f5364

105455244132 has 72 divisors (see below), whose sum is σ = 308504851200. Its totient is φ = 29748670848.

The previous prime is 105455244031. The next prime is 105455244151. The reversal of 105455244132 is 231442554501.

105455244132 is a `hidden beast` number, since 1 + 0 + 54 + 552 + 44 + 13 + 2 = 666.

It is a super-2 number, since 2×1054552441322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2628657 + ... + 2668472.

It is an arithmetic number, because the mean of its divisors is an integer number (4284789600).

Almost surely, 2105455244132 is an apocalyptic number.

105455244132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105455244132 is an abundant number, since it is smaller than the sum of its proper divisors (203049607068).

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

105455244132 is a wasteful number, since it uses less digits than its factorization.

105455244132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297225 (or 5297220 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 105455244132 its reverse (231442554501), we get a palindrome (336897798633).

The spelling of 105455244132 in words is "one hundred five billion, four hundred fifty-five million, two hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6636 9954 19908 5297129 10594258 15891387 21188516 31782774 37079903 47674161 63565548 74159806 95348322 111239709 148319612 190696644 222479418 333719127 418473191 444958836 667438254 836946382 1255419573 1334876508 1673892764 2510839146 2929312337 3766258719 5021678292 5858624674 7532517438 8787937011 11717249348 15065034876 17575874022 26363811033 35151748044 52727622066 105455244132