102013483572 has 288 divisors, whose sum is σ = 353299564800. Its totient is φ = 24458353920.

The previous prime is 102013483553. The next prime is 102013483631. The reversal of 102013483572 is 275384310201.

102013483572 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 3 + 4 + 83 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1736878 + ... + 1794650.

It is an arithmetic number, because the mean of its divisors is an integer number (1226734600).

Almost surely, 2^102013483572 is an apocalyptic number.

102013483572 is a gapful number since it is divisible by the number (12) 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 102013483572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176649782400).

102013483572 is an abundant number, since it is smaller than the sum of its proper divisors (251286081228).

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

102013483572 is a wasteful number, since it uses less digits than its factorization.

102013483572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57828 (or 57809 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 102013483572 its reverse (275384310201), we get a palindrome (377397793773).

It can be divided in two parts, 102013 and 483572, that added together give a palindrome (585585).

The spelling of 102013483572 in words is "one hundred two billion, thirteen million, four hundred eighty-three thousand, five hundred seventy-two".