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105444003525 = 3527200845721
BaseRepresentation
bin110001000110011110…
…0111100111011000101
3101002011120111101010220
41202030330330323011
53211422131103100
6120235034534553
710422000145620
oct1421474747305
9332146441126
10105444003525
114079a433573
1218528b97459
139c356487c3
14516409cdb7
152b22147aa0
hex188cf3cec5

105444003525 has 24 divisors (see below), whose sum is σ = 199238956224. Its totient is φ = 48202972800.

The previous prime is 105444003517. The next prime is 105444003529. The reversal of 105444003525 is 525300444501.

It is not a de Polignac number, because 105444003525 - 23 = 105444003517 is a prime.

It is a super-2 number, since 2×1054440035252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105444003529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100422336 + ... + 100423385.

It is an arithmetic number, because the mean of its divisors is an integer number (8301623176).

Almost surely, 2105444003525 is an apocalyptic number.

105444003525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105444003525 is a deficient number, since it is larger than the sum of its proper divisors (93794952699).

105444003525 is a wasteful number, since it uses less digits than its factorization.

105444003525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200845741 (or 200845736 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 105444003525 in words is "one hundred five billion, four hundred forty-four million, three thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 200845721 602537163 1004228605 1405920047 3012685815 4217760141 5021143025 7029600235 15063429075 21088800705 35148001175 105444003525