106103781257 has 2 divisors, whose sum is σ = 106103781258. Its totient is φ = 106103781256.

The previous prime is 106103781253. The next prime is 106103781319. The reversal of 106103781257 is 752187301601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102111563401 + 3992217856 = 319549^2 + 63184^2 .

It is a cyclic number.

It is not a de Polignac number, because 106103781257 - 2² = 106103781253 is a prime.

It is a super-2 number, since 2×106103781257² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106103781253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53051890628 + 53051890629.

It is an arithmetic number, because the mean of its divisors is an integer number (53051890629).

Almost surely, 2^106103781257 is an apocalyptic number.

It is an amenable number.

106103781257 is a deficient number, since it is larger than the sum of its proper divisors (1).

106103781257 is an equidigital number, since it uses as much as digits as its factorization.

106103781257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 106103781257 in words is "one hundred six billion, one hundred three million, seven hundred eighty-one thousand, two hundred fifty-seven".