103705799904 has 432 divisors, whose sum is σ = 363718026000. Its totient is φ = 28663165440.

The previous prime is 103705799903. The next prime is 103705799933. The reversal of 103705799904 is 409997507301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103705799903) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40683622 + ... + 40686170.

It is an arithmetic number, because the mean of its divisors is an integer number (841939875).

Almost surely, 2^103705799904 is an apocalyptic number.

103705799904 is a gapful number since it is divisible by the number (14) 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 103705799904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181859013000).

103705799904 is an abundant number, since it is smaller than the sum of its proper divisors (260012226096).

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

103705799904 is a wasteful number, since it uses less digits than its factorization.

103705799904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 103705799904 in words is "one hundred three billion, seven hundred five million, seven hundred ninety-nine thousand, nine hundred four".