102044213040 has 480 divisors, whose sum is σ = 402650728704. Its totient is φ = 21139937280.

The previous prime is 102044212987. The next prime is 102044213077. The reversal of 102044213040 is 40312440201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102044212998 and 102044213016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51354927 + ... + 51356913.

Almost surely, 2^102044213040 is an apocalyptic number.

102044213040 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 102044213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201325364352).

102044213040 is an abundant number, since it is smaller than the sum of its proper divisors (300606515664).

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

102044213040 is a wasteful number, since it uses less digits than its factorization.

102044213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102044213040 its reverse (40312440201), we get a palindrome (142356653241).

The spelling of 102044213040 in words is "one hundred two billion, forty-four million, two hundred thirteen thousand, forty".