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105412036049 is a prime number
BaseRepresentation
bin110001000101100001…
…1000000010111010001
3101002002100100021000022
41202023003000113101
53211340440123144
6120231533433225
710421131344155
oct1421303002721
9332070307008
10105412036049
1140783389971
121851a33b815
139c2bb35138
14515db3b065
152b1e430cee
hex188b0c05d1

105412036049 has 2 divisors, whose sum is σ = 105412036050. Its totient is φ = 105412036048.

The previous prime is 105412036003. The next prime is 105412036063. The reversal of 105412036049 is 940630214501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105239901649 + 172134400 = 324407^2 + 13120^2 .

It is an emirp because it is prime and its reverse (940630214501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105412036049 is a prime.

It is a super-2 number, since 2×1054120360492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105412038049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706018024 + 52706018025.

It is an arithmetic number, because the mean of its divisors is an integer number (52706018025).

Almost surely, 2105412036049 is an apocalyptic number.

It is an amenable number.

105412036049 is a deficient number, since it is larger than the sum of its proper divisors (1).

105412036049 is an equidigital number, since it uses as much as digits as its factorization.

105412036049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 105412036049 in words is "one hundred five billion, four hundred twelve million, thirty-six thousand, forty-nine".