10106241255037 has 2 divisors, whose sum is σ = 10106241255038. Its totient is φ = 10106241255036.

The previous prime is 10106241255029. The next prime is 10106241255059. The reversal of 10106241255037 is 73055214260101.

10106241255037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9092552728996 + 1013688526041 = 3015386^2 + 1006821^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106241255037 - 2³ = 10106241255029 is a prime.

It is a super-2 number, since 2×10106241255037² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10106241254987 and 10106241255005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10106241255337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053120627518 + 5053120627519.

It is an arithmetic number, because the mean of its divisors is an integer number (5053120627519).

Almost surely, 2^{10106241255037} is an apocalyptic number.

It is an amenable number.

10106241255037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106241255037 is an equidigital number, since it uses as much as digits as its factorization.

10106241255037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 10106241255037 in words is "ten trillion, one hundred six billion, two hundred forty-one million, two hundred fifty-five thousand, thirty-seven".