Search a number
-
+
105204112545 = 35721967229491
BaseRepresentation
bin110000111111010100…
…1110101110010100001
3101001112212002122120210
41201332221311302201
53210424223100140
6120155145124333
710413025126200
oct1417651656241
9331485078523
10105204112545
1140686a84964
12184807896a9
139bc7a3548c
145140295237
152b0b05dd80
hex187ea75ca1

105204112545 has 192 divisors, whose sum is σ = 210531916800. Its totient is φ = 44595048960.

The previous prime is 105204112543. The next prime is 105204112549. The reversal of 105204112545 is 545211402501.

It is not a de Polignac number, because 105204112545 - 21 = 105204112543 is a prime.

It is a super-2 number, since 2×1052041125452 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105204112543) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 214264750 + ... + 214265240.

It is an arithmetic number, because the mean of its divisors is an integer number (1096520400).

Almost surely, 2105204112545 is an apocalyptic number.

105204112545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105204112545 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

105204112545 is a wasteful number, since it uses less digits than its factorization.

105204112545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 105204112545 in words is "one hundred five billion, two hundred four million, one hundred twelve thousand, five hundred forty-five".