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105025424445 = 33537103204137
BaseRepresentation
bin110000111010000000…
…0001100110000111101
3101001002101212100121000
41201310000030300331
53210043002040240
6120125323200513
710405425243504
oct1416400146075
9331071770530
10105025424445
11405a5128947
1218430976139
139b99a00786
14512465d83b
152aea514430
hex187400cc3d

105025424445 has 64 divisors (see below), whose sum is σ = 193620810240. Its totient is φ = 53970292224.

The previous prime is 105025424429. The next prime is 105025424447. The reversal of 105025424445 is 544424520501.

105025424445 is a `hidden beast` number, since 105 + 0 + 2 + 542 + 4 + 4 + 4 + 5 = 666.

It is not a de Polignac number, because 105025424445 - 24 = 105025424429 is a prime.

It is a super-2 number, since 2×1050254244452 (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 (105025424447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412417 + ... + 616553.

It is an arithmetic number, because the mean of its divisors is an integer number (3025325160).

Almost surely, 2105025424445 is an apocalyptic number.

105025424445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105025424445 is a deficient number, since it is larger than the sum of its proper divisors (88595385795).

105025424445 is a wasteful number, since it uses less digits than its factorization.

105025424445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204291 (or 204285 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 105025424445 its reverse (544424520501), we get a palindrome (649449944946).

The spelling of 105025424445 in words is "one hundred five billion, twenty-five million, four hundred twenty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 37 45 103 111 135 185 309 333 515 555 927 999 1545 1665 2781 3811 4635 4995 11433 13905 19055 34299 57165 102897 171495 204137 514485 612411 1020685 1837233 3062055 5511699 7553069 9186165 21026111 22659207 27558495 37765345 63078333 67977621 105130555 113296035 189234999 203932863 315391665 339888105 567704997 777966107 946174995 1019664315 2333898321 2838524985 3889830535 7001694963 11669491605 21005084889 35008474815 105025424445