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105455412505 = 5238423108869
BaseRepresentation
bin110001000110110100…
…0011110010100011001
3101002012100222000022201
41202031220132110121
53211433041200010
6120240123250201
710422166134142
oct1421550362431
9332170860281
10105455412505
11407a5916283
1218530979961
139c37b11791
1451657ccac9
152b2314d23a
hex188da1e519

105455412505 has 16 divisors (see below), whose sum is σ = 132065406720. Its totient is φ = 80685994048.

The previous prime is 105455412499. The next prime is 105455412539. The reversal of 105455412505 is 505214554501.

105455412505 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105455412505 is a prime.

It is a super-2 number, since 2×1054554125052 (a number of 23 digits) contains 22 as substring.

105455412505 is strictly pandigital in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 914211 + ... + 1023079.

It is an arithmetic number, because the mean of its divisors is an integer number (8254087920).

Almost surely, 2105455412505 is an apocalyptic number.

It is an amenable number.

105455412505 is a deficient number, since it is larger than the sum of its proper divisors (26609994215).

105455412505 is a wasteful number, since it uses less digits than its factorization.

105455412505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117320.

The product of its (nonzero) digits is 100000, while the sum is 37.

The spelling of 105455412505 in words is "one hundred five billion, four hundred fifty-five million, four hundred twelve thousand, five hundred five".

Divisors: 1 5 23 115 8423 42115 108869 193729 544345 968645 2503987 12519935 917003587 4585017935 21091082501 105455412505