103981413361140 has 768 divisors, whose sum is σ = 385057977292800. Its totient is φ = 22800543842304.

The previous prime is 103981413361139. The next prime is 103981413361151. The reversal of 103981413361140 is 41163314189301.

103981413361140 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 8 + 14 + 13 + 3 + 611 + 4 + 0 = 666.

It is a super-2 number, since 2×103981413361140² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3649352734 + ... + 3649381226.

It is an arithmetic number, because the mean of its divisors is an integer number (501377574600).

Almost surely, 2^{103981413361140} is an apocalyptic number.

103981413361140 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 103981413361140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192528988646400).

103981413361140 is an abundant number, since it is smaller than the sum of its proper divisors (281076563931660).

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

103981413361140 is a wasteful number, since it uses less digits than its factorization.

103981413361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28921 (or 28913 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 103981413361140 in words is "one hundred three trillion, nine hundred eighty-one billion, four hundred thirteen million, three hundred sixty-one thousand, one hundred forty".