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105374021417 = 7259137266051
BaseRepresentation
bin110001000100011000…
…1111111011100101001
3101001222200210220201222
41202020301333130221
53211301222141132
6120224054551425
710420160255300
oct1421061773451
9331880726658
10105374021417
1140763984a15
1218509668575
139c23cb5182
145158a83437
152b1ae22412
hex1888c7f729

105374021417 has 24 divisors (see below), whose sum is σ = 125565901920. Its totient is φ = 88141300800.

The previous prime is 105374021387. The next prime is 105374021453. The reversal of 105374021417 is 714120473501.

It is not a de Polignac number, because 105374021417 - 210 = 105374020393 is a prime.

It is a super-2 number, since 2×1053740214172 (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 (105374021017) 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 23 ways as a sum of consecutive naturals, for example, 263042 + ... + 529092.

It is an arithmetic number, because the mean of its divisors is an integer number (5231912580).

Almost surely, 2105374021417 is an apocalyptic number.

It is an amenable number.

105374021417 is a deficient number, since it is larger than the sum of its proper divisors (20191880503).

105374021417 is a wasteful number, since it uses less digits than its factorization.

105374021417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266261 (or 266254 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

Adding to 105374021417 its reverse (714120473501), we get a palindrome (819494494918).

The spelling of 105374021417 in words is "one hundred five billion, three hundred seventy-four million, twenty-one thousand, four hundred seventeen".

Divisors: 1 7 49 59 137 413 959 2891 6713 8083 56581 266051 396067 1862357 13036499 15697009 36448987 109879063 255142909 769153441 1786000363 2150490233 15053431631 105374021417