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105400331357 is a prime number
BaseRepresentation
bin110001000101001011…
…0010110110001011101
3101002001112022121012012
41202022112112301131
53211324441100412
6120230434521005
710420630014536
oct1421226266135
9332045277165
10105400331357
1140777814a72
1218516436165
139c29597699
14515c37168d
152b1d3bcc22
hex188a596c5d

105400331357 has 2 divisors, whose sum is σ = 105400331358. Its totient is φ = 105400331356.

The previous prime is 105400331251. The next prime is 105400331429. The reversal of 105400331357 is 753133004501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80740654201 + 24659677156 = 284149^2 + 157034^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105400331357 is a prime.

It is a super-2 number, since 2×1054003313572 (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 (105400331657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52700165678 + 52700165679.

It is an arithmetic number, because the mean of its divisors is an integer number (52700165679).

Almost surely, 2105400331357 is an apocalyptic number.

It is an amenable number.

105400331357 is a deficient number, since it is larger than the sum of its proper divisors (1).

105400331357 is an equidigital number, since it uses as much as digits as its factorization.

105400331357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 32.

Adding to 105400331357 its reverse (753133004501), we get a palindrome (858533335858).

The spelling of 105400331357 in words is "one hundred five billion, four hundred million, three hundred thirty-one thousand, three hundred fifty-seven".