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10100055105 = 335710687889
BaseRepresentation
bin10010110100000001…
…01001110001000001
3222001220000221221000
421122000221301001
5131141103230410
64350115122213
7505201023540
oct113200516101
928056027830
1010100055105
114313243988
121b5a5a3369
13c4c65008a
146bb56a157
153e1a73dc0
hex25a029c41

10100055105 has 32 divisors (see below), whose sum is σ = 20520748800. Its totient is φ = 4617167616.

The previous prime is 10100055101. The next prime is 10100055139. The reversal of 10100055105 is 50155000101.

10100055105 is a `hidden beast` number, since 10 + 100 + 0 + 551 + 0 + 5 = 666.

It is not a de Polignac number, because 10100055105 - 22 = 10100055101 is a prime.

It is a super-2 number, since 2×101000551052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100055101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5343000 + ... + 5344889.

It is an arithmetic number, because the mean of its divisors is an integer number (641273400).

Almost surely, 210100055105 is an apocalyptic number.

10100055105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10100055105 is an abundant number, since it is smaller than the sum of its proper divisors (10420693695).

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

10100055105 is a wasteful number, since it uses less digits than its factorization.

10100055105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10687910 (or 10687904 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

Adding to 10100055105 its reverse (50155000101), we get a palindrome (60255055206).

The spelling of 10100055105 in words is "ten billion, one hundred million, fifty-five thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 10687889 32063667 53439445 74815223 96191001 160318335 224445669 288573003 374076115 480955005 673337007 1122228345 1442865015 2020011021 3366685035 10100055105