102263512238541 has 24 divisors (see below), whose sum is σ = 148339670254776. Its totient is φ = 67886935234560.

The previous prime is 102263512238501. The next prime is 102263512238549. The reversal of 102263512238541 is 145832215362201.

It is a happy number.

102263512238541 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 6 + 3 + 51 + 22 + 38 + 541 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55963176569316 + 46300335669225 = 7480854^2 + 6804435^2 .

It is not a de Polignac number, because 102263512238541 - 2¹⁰ = 102263512237517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102263512238549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23205511 + ... + 27258443.

It is an arithmetic number, because the mean of its divisors is an integer number (6180819593949).

Almost surely, 2^{102263512238541} is an apocalyptic number.

It is an amenable number.

102263512238541 is a deficient number, since it is larger than the sum of its proper divisors (46076158016235).

102263512238541 is a wasteful number, since it uses less digits than its factorization.

102263512238541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064813 (or 4064810 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 102263512238541 in words is "one hundred two trillion, two hundred sixty-three billion, five hundred twelve million, two hundred thirty-eight thousand, five hundred forty-one".