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105023320501 = 1189107276119
BaseRepresentation
bin110000111001111100…
…0001011000110110101
3101001002020220110112011
41201303320023012311
53210041432224001
6120125210124221
710405401331531
oct1416370130665
9331066813464
10105023320501
11405a3a21150
1218430120671
139b99444c38
145124272bc1
152aea24ad51
hex1873e0b1b5

105023320501 has 8 divisors (see below), whose sum is σ = 115858209600. Its totient is φ = 94402983840.

The previous prime is 105023320499. The next prime is 105023320517.

105023320501 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 105023320501 - 21 = 105023320499 is a prime.

It is a super-2 number, since 2×1050233205012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105023320201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53637081 + ... + 53639038.

It is an arithmetic number, because the mean of its divisors is an integer number (14482276200).

Almost surely, 2105023320501 is an apocalyptic number.

105023320501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105023320501 is a deficient number, since it is larger than the sum of its proper divisors (10834889099).

105023320501 is a wasteful number, since it uses less digits than its factorization.

105023320501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107276219.

The product of its (nonzero) digits is 900, while the sum is 22.

It can be divided in two parts, 105023 and 320501, that added together give a palindrome (425524).

The spelling of 105023320501 in words is "one hundred five billion, twenty-three million, three hundred twenty thousand, five hundred one".

Divisors: 1 11 89 979 107276119 1180037309 9547574591 105023320501