103901205408 has 432 divisors, whose sum is σ = 371047860288. Its totient is φ = 24908083200.

The previous prime is 103901205337. The next prime is 103901205433. The reversal of 103901205408 is 804502109301.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 71 ways as a sum of consecutive naturals, for example, 13737948 + ... + 13745508.

It is an arithmetic number, because the mean of its divisors is an integer number (858907084).

Almost surely, 2^103901205408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103901205408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185523930144).

103901205408 is an abundant number, since it is smaller than the sum of its proper divisors (267146654880).

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

103901205408 is a wasteful number, since it uses less digits than its factorization.

103901205408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 103901205408 in words is "one hundred three billion, nine hundred one million, two hundred five thousand, four hundred eight".