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106045044440 = 2354457594823
BaseRepresentation
bin110001011000011000…
…1101111011011011000
3101010201110110102021112
41202300301233123120
53214140012410230
6120414425155452
710442616001526
oct1426061573330
9333643412245
10106045044440
1140a787324a5
121867632bb88
13a00001a10a
1451bdc37316
152b59cbdd95
hex18b0c6f6d8

106045044440 has 32 divisors (see below), whose sum is σ = 238655285280. Its totient is φ = 42408429312.

The previous prime is 106045044437. The next prime is 106045044449. The reversal of 106045044440 is 44440540601.

It is a super-2 number, since 2×1060450444402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106045044397 and 106045044406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106045044449) 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 7 ways as a sum of consecutive naturals, for example, 119132 + ... + 475691.

It is an arithmetic number, because the mean of its divisors is an integer number (7457977665).

Almost surely, 2106045044440 is an apocalyptic number.

106045044440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106045044440 is an abundant number, since it is smaller than the sum of its proper divisors (132610240840).

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

106045044440 is a wasteful number, since it uses less digits than its factorization.

106045044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599291 (or 599287 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 106045044440 in words is "one hundred six billion, forty-five million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 4457 8914 17828 22285 35656 44570 89140 178280 594823 1189646 2379292 2974115 4758584 5948230 11896460 23792920 2651126111 5302252222 10604504444 13255630555 21209008888 26511261110 53022522220 106045044440