103392782220 has 576 divisors, whose sum is σ = 384431201280. Its totient is φ = 20522170368.

The previous prime is 103392782219. The next prime is 103392782243. The reversal of 103392782220 is 22287293301.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125628729 + ... + 125629551.

It is an arithmetic number, because the mean of its divisors is an integer number (667415280).

Almost surely, 2^103392782220 is an apocalyptic number.

103392782220 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 103392782220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192215600640).

103392782220 is an abundant number, since it is smaller than the sum of its proper divisors (281038419060).

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

103392782220 is a wasteful number, since it uses less digits than its factorization.

103392782220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 103392782220 in words is "one hundred three billion, three hundred ninety-two million, seven hundred eighty-two thousand, two hundred twenty".