102540123 has 24 divisors (see below), whose sum is σ = 170144000. Its totient is φ = 58292784.

The previous prime is 102540101. The next prime is 102540127. The reversal of 102540123 is 321045201.

102540123 is a `hidden beast` number, since 1 + 0 + 2 + 540 + 123 = 666.

It is not a de Polignac number, because 102540123 - 2¹⁶ = 102474587 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102540096 and 102540105.

It is not an unprimeable number, because it can be changed into a prime (102540127) 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, 8448 + ... + 16626.

Almost surely, 2^102540123 is an apocalyptic number.

102540123 is a deficient number, since it is larger than the sum of its proper divisors (67603877).

102540123 is a wasteful number, since it uses less digits than its factorization.

102540123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8391 (or 8388 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102540123 is about 10126.2097055117. The cubic root of 102540123 is about 468.0561377980.

Adding to 102540123 its reverse (321045201), we get a palindrome (423585324).

It can be divided in two parts, 102 and 540123, that added together give a square (540225 = 735²).

The spelling of 102540123 in words is "one hundred two million, five hundred forty thousand, one hundred twenty-three".