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105402315041 = 1039911032617
BaseRepresentation
bin110001000101001110…
…1111011000100100001
3101002001200001101021222
41202022131323010201
53211330443040131
6120230545224425
710420652616062
oct1421235730441
9332050041258
10105402315041
114077894a381
1218517032115
139c29b1056a
14515c72a569
152b1d66087b
hex188a77b121

105402315041 has 8 divisors (see below), whose sum is σ = 106533133824. Its totient is φ = 104273563680.

The previous prime is 105402314999. The next prime is 105402315091. The reversal of 105402315041 is 140513204501.

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 105402315041 - 218 = 105402052897 is a prime.

It is a super-2 number, since 2×1054023150412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105402315041.

It is not an unprimeable number, because it can be changed into a prime (105402315091) 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, 414236 + ... + 618381.

It is an arithmetic number, because the mean of its divisors is an integer number (13316641728).

Almost surely, 2105402315041 is an apocalyptic number.

It is an amenable number.

105402315041 is a deficient number, since it is larger than the sum of its proper divisors (1130818783).

105402315041 is a wasteful number, since it uses less digits than its factorization.

105402315041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033711.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 105402315041 its reverse (140513204501), we get a palindrome (245915519542).

The spelling of 105402315041 in words is "one hundred five billion, four hundred two million, three hundred fifteen thousand, forty-one".

Divisors: 1 103 991 102073 1032617 106359551 1023323447 105402315041