102013380 has 72 divisors (see below), whose sum is σ = 353650752. Its totient is φ = 23317056.

The previous prime is 102013369. The next prime is 102013421. The reversal of 102013380 is 83310201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39222 + ... + 41741.

It is an arithmetic number, because the mean of its divisors is an integer number (4911816).

Almost surely, 2^102013380 is an apocalyptic number.

102013380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013380 is an abundant number, since it is smaller than the sum of its proper divisors (251637372).

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

102013380 is a wasteful number, since it uses less digits than its factorization.

102013380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80985 (or 80980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102013380 is about 10100.1673253466. The cubic root of 102013380 is about 467.2533019287.

Adding to 102013380 its reverse (83310201), we get a palindrome (185323581).

It can be divided in two parts, 1020 and 13380, that added together give a square (14400 = 120²).

The spelling of 102013380 in words is "one hundred two million, thirteen thousand, three hundred eighty".