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105103404661 is a prime number
BaseRepresentation
bin110000111100010100…
…1101010111001110101
3101001021211121011100011
41201320221222321311
53210222432422121
6120141150420221
710410363125203
oct1417051527165
9331254534304
10105103404661
114063514a602
1218452b01671
139bacc04708
145130b5c073
152b022b97e1
hex1878a6ae75

105103404661 has 2 divisors, whose sum is σ = 105103404662. Its totient is φ = 105103404660.

The previous prime is 105103404649. The next prime is 105103404713. The reversal of 105103404661 is 166404301501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71486182161 + 33617222500 = 267369^2 + 183350^2 .

It is an emirp because it is prime and its reverse (166404301501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105103404661 - 25 = 105103404629 is a prime.

It is a super-2 number, since 2×1051034046612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105103404361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52551702330 + 52551702331.

It is an arithmetic number, because the mean of its divisors is an integer number (52551702331).

Almost surely, 2105103404661 is an apocalyptic number.

It is an amenable number.

105103404661 is a deficient number, since it is larger than the sum of its proper divisors (1).

105103404661 is an equidigital number, since it uses as much as digits as its factorization.

105103404661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 105103404661 in words is "one hundred five billion, one hundred three million, four hundred four thousand, six hundred sixty-one".