102013020 has 60 divisors (see below), whose sum is σ = 320023704. Its totient is φ = 27203040.

The previous prime is 102013019. The next prime is 102013031. The reversal of 102013020 is 20310201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102012993 and 102013011.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 29866 + ... + 33105.

Almost surely, 2^102013020 is an apocalyptic number.

102013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013020 is an abundant number, since it is smaller than the sum of its proper divisors (218010684).

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

102013020 is a wasteful number, since it uses less digits than its factorization.

102013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62992 (or 62981 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102013020 is about 10100.1495038440. The cubic root of 102013020 is about 467.2527522904.

Adding to 102013020 its reverse (20310201), we get a palindrome (122323221).

The spelling of 102013020 in words is "one hundred two million, thirteen thousand, twenty".