102505405023 has 96 divisors (see below), whose sum is σ = 179860262400. Its totient is φ = 54952121088.

The previous prime is 102505405007. The next prime is 102505405049. The reversal of 102505405023 is 320504505201.

It is a happy number.

102505405023 is a `hidden beast` number, since 1 + 0 + 2 + 50 + 540 + 50 + 23 = 666.

It is not a de Polignac number, because 102505405023 - 2⁴ = 102505405007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102505405423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128613661 + ... + 128614457.

It is an arithmetic number, because the mean of its divisors is an integer number (1873544400).

Almost surely, 2^102505405023 is an apocalyptic number.

102505405023 is a deficient number, since it is larger than the sum of its proper divisors (77354857377).

102505405023 is a wasteful number, since it uses less digits than its factorization.

102505405023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

It can be divided in two parts, 102505 and 405023, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 102505405023 in words is "one hundred two billion, five hundred five million, four hundred five thousand, twenty-three".