103643683799040 has 2880 divisors, whose sum is σ = 469309672258560. Its totient is φ = 21504817889280.

The previous prime is 103643683798999. The next prime is 103643683799069. The reversal of 103643683799040 is 40997386346301.

103643683799040 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 436 + 8 + 3 + 79 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151747706539 + ... + 151747707221.

It is an arithmetic number, because the mean of its divisors is an integer number (162954747312).

Almost surely, 2^{103643683799040} is an apocalyptic number.

103643683799040 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 103643683799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234654836129280).

103643683799040 is an abundant number, since it is smaller than the sum of its proper divisors (365665988459520).

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

103643683799040 is an frugal number, since it uses more digits than its factorization.

103643683799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 103643683799040 in words is "one hundred three trillion, six hundred forty-three billion, six hundred eighty-three million, seven hundred ninety-nine thousand, forty".