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105002860261 = 1331325805569
BaseRepresentation
bin110000111001010101…
…0000111111011100101
3101001000211101222100111
41201302222013323211
53210021213012021
6120123155413021
710405032404635
oct1416252077345
9331024358314
10105002860261
1140593417062
12184252b4171
139b951301a0
1451216686c5
152ae85588e1
hex1872a87ee5

105002860261 has 8 divisors (see below), whose sum is σ = 113441285720. Its totient is φ = 96616046592.

The previous prime is 105002860253. The next prime is 105002860283. The reversal of 105002860261 is 162068200501.

It can be written as a sum of positive squares in 4 ways, for example, as 967583236 + 104035277025 = 31106^2 + 322545^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105002860261 - 23 = 105002860253 is a prime.

It is a super-2 number, since 2×1050028602612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105002860241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12898716 + ... + 12906853.

It is an arithmetic number, because the mean of its divisors is an integer number (14180160715).

Almost surely, 2105002860261 is an apocalyptic number.

It is an amenable number.

105002860261 is a deficient number, since it is larger than the sum of its proper divisors (8438425459).

105002860261 is a wasteful number, since it uses less digits than its factorization.

105002860261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25805895.

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 105002860261 in words is "one hundred five billion, two million, eight hundred sixty thousand, two hundred sixty-one".

Divisors: 1 13 313 4069 25805569 335472397 8077143097 105002860261