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105140340001 = 315458362137
BaseRepresentation
bin110000111101011011…
…0100100010100100001
3101001101102002200002201
41201322312210110201
53210311411340001
6120144550213201
710411322100334
oct1417266442441
9331342080081
10105140340001
1140653a87684
1218463354201
139bb7767348
145135a1461b
152b05663501
hex187ada4521

105140340001 has 8 divisors (see below), whose sum is σ = 108535698944. Its totient is φ = 101745214560.

The previous prime is 105140339987. The next prime is 105140340047. The reversal of 105140340001 is 100043041501.

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

It is a cyclic number.

It is not a de Polignac number, because 105140340001 - 219 = 105139815713 is a prime.

It is a super-2 number, since 2×1051403400012 (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 (105140340091) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1661005 + ... + 1723141.

It is an arithmetic number, because the mean of its divisors is an integer number (13566962368).

Almost surely, 2105140340001 is an apocalyptic number.

It is an amenable number.

105140340001 is a deficient number, since it is larger than the sum of its proper divisors (3395358943).

105140340001 is an equidigital number, since it uses as much as digits as its factorization.

105140340001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116751.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 105140340001 its reverse (100043041501), we get a palindrome (205183381502).

The spelling of 105140340001 in words is "one hundred five billion, one hundred forty million, three hundred forty thousand, one".

Divisors: 1 31 54583 62137 1692073 1926247 3391623871 105140340001