103723796816640 has 4032 divisors, whose sum is σ = 503179000611840. Its totient is φ = 19774858199040.

The previous prime is 103723796816617. The next prime is 103723796816641. The reversal of 103723796816640 is 46618697327301.

It is a happy number.

103723796816640 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 2 + 379 + 68 + 166 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is not an unprimeable number, because it can be changed into a prime (103723796816641) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 273677563971 + ... + 273677564349.

It is an arithmetic number, because the mean of its divisors is an integer number (124796379120).

Almost surely, 2^{103723796816640} is an apocalyptic number.

103723796816640 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 103723796816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251589500305920).

103723796816640 is an abundant number, since it is smaller than the sum of its proper divisors (399455203795200).

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

103723796816640 is a wasteful number, since it uses less digits than its factorization.

103723796816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 103723796816640 in words is "one hundred three trillion, seven hundred twenty-three billion, seven hundred ninety-six million, eight hundred sixteen thousand, six hundred forty".