102506103024 has 160 divisors (see below), whose sum is σ = 298744879104. Its totient is φ = 30050549760.

The previous prime is 102506102999. The next prime is 102506103031. The reversal of 102506103024 is 420301605201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102506102985 and 102506103003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3674569 + ... + 3702359.

Almost surely, 2^102506103024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102506103024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149372439552).

102506103024 is an abundant number, since it is smaller than the sum of its proper divisors (196238776080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102506103024 is a wasteful number, since it uses less digits than its factorization.

102506103024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28095 (or 28089 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 102506103024 its reverse (420301605201), we get a palindrome (522807708225).

The spelling of 102506103024 in words is "one hundred two billion, five hundred six million, one hundred three thousand, twenty-four".