102540300 has 72 divisors (see below), whose sum is σ = 298939200. Its totient is φ = 27136320.

The previous prime is 102540287. The next prime is 102540313. The reversal of 102540300 is 3045201.

It is an interprime number because it is at equal distance from previous prime (102540287) and next prime (102540313).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102540300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40471 + ... + 42929.

Almost surely, 2^102540300 is an apocalyptic number.

102540300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149469600).

102540300 is an abundant number, since it is smaller than the sum of its proper divisors (196398900).

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

102540300 is a wasteful number, since it uses less digits than its factorization.

102540300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 102540300 is about 10126.2184452045. The cubic root of 102540300 is about 468.0564071101.

Adding to 102540300 its reverse (3045201), we get a palindrome (105585501).

The spelling of 102540300 in words is "one hundred two million, five hundred forty thousand, three hundred".