103405335000 has 320 divisors, whose sum is σ = 355759620480. Its totient is φ = 24829440000.

The previous prime is 103405334987. The next prime is 103405335031. The reversal of 103405335000 is 533504301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17652072 + ... + 17657928.

It is an arithmetic number, because the mean of its divisors is an integer number (1111748814).

Almost surely, 2^103405335000 is an apocalyptic number.

103405335000 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 103405335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177879810240).

103405335000 is an abundant number, since it is smaller than the sum of its proper divisors (252354285480).

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

103405335000 is a wasteful number, since it uses less digits than its factorization.

103405335000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 103405335000 its reverse (533504301), we get a palindrome (103938839301).

The spelling of 103405335000 in words is "one hundred three billion, four hundred five million, three hundred thirty-five thousand".