103405621020 has 144 divisors (see below), whose sum is σ = 313927229952. Its totient is φ = 25420711680.

The previous prime is 103405621003. The next prime is 103405621037. The reversal of 103405621020 is 20126504301.

103405621020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103405621003) and next prime (103405621037).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8339025 + ... + 8351415.

It is an arithmetic number, because the mean of its divisors is an integer number (2180050208).

Almost surely, 2^103405621020 is an apocalyptic number.

103405621020 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 103405621020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156963614976).

103405621020 is an abundant number, since it is smaller than the sum of its proper divisors (210521608932).

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

103405621020 is a wasteful number, since it uses less digits than its factorization.

103405621020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13252 (or 13237 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 103405621020 in words is "one hundred three billion, four hundred five million, six hundred twenty-one thousand, twenty".