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106103100757 is a prime number
BaseRepresentation
bin110001011010000111…
…1001101010101010101
3101010212111200222120111
41202310033031111111
53214244343211012
6120424301403021
710444222322113
oct1426417152525
9333774628514
10106103100757
1140aa8486025
1218691869471
13a00c066474
1451c782aab3
152b5ee3aba7
hex18b43cd555

106103100757 has 2 divisors, whose sum is σ = 106103100758. Its totient is φ = 106103100756.

The previous prime is 106103100743. The next prime is 106103100781. The reversal of 106103100757 is 757001301601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100954894756 + 5148206001 = 317734^2 + 71751^2 .

It is a cyclic number.

It is not a de Polignac number, because 106103100757 - 223 = 106094712149 is a prime.

It is a super-2 number, since 2×1061031007572 (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 (106103500757) 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 as a sum of consecutive naturals, namely, 53051550378 + 53051550379.

It is an arithmetic number, because the mean of its divisors is an integer number (53051550379).

Almost surely, 2106103100757 is an apocalyptic number.

It is an amenable number.

106103100757 is a deficient number, since it is larger than the sum of its proper divisors (1).

106103100757 is an equidigital number, since it uses as much as digits as its factorization.

106103100757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 31.

The spelling of 106103100757 in words is "one hundred six billion, one hundred three million, one hundred thousand, seven hundred fifty-seven".