103895611097040 has 960 divisors, whose sum is σ = 440864320306176. Its totient is φ = 21364850884608.

The previous prime is 103895611097027. The next prime is 103895611097071. The reversal of 103895611097040 is 40790116598301.

103895611097040 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 9 + 561 + 1 + 0 + 9 + 70 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3147095574 + ... + 3147128586.

Almost surely, 2^{103895611097040} is an apocalyptic number.

103895611097040 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 103895611097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220432160153088).

103895611097040 is an abundant number, since it is smaller than the sum of its proper divisors (336968709209136).

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

103895611097040 is a wasteful number, since it uses less digits than its factorization.

103895611097040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34676 (or 34667 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 103895611097040 in words is "one hundred three trillion, eight hundred ninety-five billion, six hundred eleven million, ninety-seven thousand, forty".