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105035381 = 1127871103
BaseRepresentation
bin1100100001010…
…11011001110101
321022122100110022
412100223121311
5203342113011
614231134525
72413533413
oct620533165
9238570408
10105035381
1154320700
122b214445
13189b7719
14dd422b3
15934b8db
hex642b675

105035381 has 12 divisors (see below), whose sum is σ = 115703616. Its totient is φ = 95278920.

The previous prime is 105035377. The next prime is 105035423. The reversal of 105035381 is 183530501.

It is not a de Polignac number, because 105035381 - 22 = 105035377 is a prime.

It is a super-2 number, since 2×1050353812 = 22064862523630322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105035381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105035311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94676 + ... + 95778.

It is an arithmetic number, because the mean of its divisors is an integer number (9641968).

Almost surely, 2105035381 is an apocalyptic number.

105035381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105035381 is a deficient number, since it is larger than the sum of its proper divisors (10668235).

105035381 is a wasteful number, since it uses less digits than its factorization.

105035381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105035381 is about 10248.6770365740. The cubic root of 105035381 is about 471.8223815193.

Adding to 105035381 its reverse (183530501), we get a palindrome (288565882).

The spelling of 105035381 in words is "one hundred five million, thirty-five thousand, three hundred eighty-one".

Divisors: 1 11 121 787 1103 8657 12133 95227 133463 868061 9548671 105035381