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105483776 = 291712119
BaseRepresentation
bin1100100100110…
…00111000000000
321100111010112112
412102120320000
5204000440101
614244514452
72420411606
oct622307000
9240433475
10105483776
11545a7582
122b3aba28
1318b13848
141001b876
1593d96bb
hex6498e00

105483776 has 40 divisors (see below), whose sum is σ = 223177680. Its totient is φ = 49635328.

The previous prime is 105483767. The next prime is 105483797. The reversal of 105483776 is 677384501.

It is a super-2 number, since 2×1054837762 = 22253653998436352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2645 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (5579442).

Almost surely, 2105483776 is an apocalyptic number.

105483776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105483776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111588840).

105483776 is an abundant number, since it is smaller than the sum of its proper divisors (117693904).

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

105483776 is an equidigital number, since it uses as much as digits as its factorization.

105483776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12154 (or 12138 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 105483776 is about 10270.5294897585. The cubic root of 105483776 is about 472.4928300658.

The spelling of 105483776 in words is "one hundred five million, four hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 12119 24238 48476 96952 193904 206023 387808 412046 775616 824092 1551232 1648184 3102464 3296368 6204928 6592736 13185472 26370944 52741888 105483776