Search a number
-
+
105499127187 = 3317236772
BaseRepresentation
bin110001001000000111…
…1001110110110010011
3101002022102012221121000
41202100033032312103
53212030234032222
6120244324233043
710423236533166
oct1422017166623
9332272187530
10105499127187
1140818563813
121854353b783
139c43ba905c
14516b52badd
152b26dd59ac
hex18903ced93

105499127187 has 36 divisors (see below), whose sum is σ = 166074805960. Its totient is φ = 66177528192.

The previous prime is 105499127161. The next prime is 105499127189. The reversal of 105499127187 is 781721994501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

105499127187 is a `hidden beast` number, since 1 + 0 + 5 + 499 + 1 + 2 + 71 + 87 = 666.

It is not a de Polignac number, because 105499127187 - 27 = 105499127059 is a prime.

It is a super-2 number, since 2×1054991271872 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105499127189) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28689793 + ... + 28693469.

Almost surely, 2105499127187 is an apocalyptic number.

105499127187 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105499127187 is a deficient number, since it is larger than the sum of its proper divisors (60575678773).

105499127187 is an frugal number, since it uses more digits than its factorization.

105499127187 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 105499127187 in words is "one hundred five billion, four hundred ninety-nine million, one hundred twenty-seven thousand, one hundred eighty-seven".

Divisors: 1 3 9 17 27 51 153 289 459 867 2601 3677 7803 11031 33093 62509 99279 187527 562581 1062653 1687743 3187959 9563877 13520329 28691631 40560987 121682961 229845593 365048883 689536779 2068610337 3907375081 6205831011 11722125243 35166375729 105499127187