102530100 has 72 divisors (see below), whose sum is σ = 301140448. Its totient is φ = 26928000.

The previous prime is 102530093. The next prime is 102530107. The reversal of 102530100 is 1035201.

It is an interprime number because it is at equal distance from previous prime (102530093) and next prime (102530107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102530107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17550 + ... + 22650.

Almost surely, 2^102530100 is an apocalyptic number.

102530100 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 102530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150570224).

102530100 is an abundant number, since it is smaller than the sum of its proper divisors (198610348).

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

102530100 is a wasteful number, since it uses less digits than its factorization.

102530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 102530100 is about 10125.7147895840. The cubic root of 102530100 is about 468.0408869238.

Adding to 102530100 its reverse (1035201), we get a palindrome (103565301).

It can be divided in two parts, 1025 and 30100, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 102530100 in words is "one hundred two million, five hundred thirty thousand, one hundred".