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105014252145 = 35111135632301
BaseRepresentation
bin110000111001101010…
…1100101001001110001
3101001001121211202002010
41201303111211021301
53210032122032040
6120124243513133
710405231262265
oct1416325451161
9331047752063
10105014252145
1140599897a40
12184290887a9
139b975bb44a
145122d920a5
152ae9558e80
hex1873565271

105014252145 has 32 divisors (see below), whose sum is σ = 184919739264. Its totient is φ = 50465408000.

The previous prime is 105014252141. The next prime is 105014252179. The reversal of 105014252145 is 541252410501.

It is not a de Polignac number, because 105014252145 - 22 = 105014252141 is a prime.

It is a super-2 number, since 2×1050142521452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105014252141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2797506 + ... + 2834795.

It is an arithmetic number, because the mean of its divisors is an integer number (5778741852).

Almost surely, 2105014252145 is an apocalyptic number.

105014252145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105014252145 is a deficient number, since it is larger than the sum of its proper divisors (79905487119).

105014252145 is a wasteful number, since it uses less digits than its factorization.

105014252145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632433.

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

Adding to 105014252145 its reverse (541252410501), we get a palindrome (646266662646).

The spelling of 105014252145 in words is "one hundred five billion, fourteen million, two hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 113 165 339 565 1243 1695 3729 6215 18645 5632301 16896903 28161505 61955311 84484515 185865933 309776555 636450013 929329665 1909350039 3182250065 7000950143 9546750195 21002850429 35004750715 105014252145