102013300 has 54 divisors (see below), whose sum is σ = 229454498. Its totient is φ = 39365760.

The previous prime is 102013259. The next prime is 102013361. The reversal of 102013300 is 3310201.

It can be written as a sum of positive squares in 9 ways, for example, as 52620516 + 49392784 = 7254^2 + 7028^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83494 + ... + 84706.

Almost surely, 2^102013300 is an apocalyptic number.

102013300 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 102013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114727249).

102013300 is an abundant number, since it is smaller than the sum of its proper divisors (127441198).

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

102013300 is a wasteful number, since it uses less digits than its factorization.

102013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 102013300 is about 10100.1633650154. The cubic root of 102013300 is about 467.2531797869.

Adding to 102013300 its reverse (3310201), we get a palindrome (105323501).

The spelling of 102013300 in words is "one hundred two million, thirteen thousand, three hundred".