103796052596352 has 192 divisors, whose sum is σ = 301607003093760. Its totient is φ = 34260138362880.

The previous prime is 103796052596351. The next prime is 103796052596371. The reversal of 103796052596352 is 253695250697301.

103796052596352 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 9 + 6 + 0 + 5 + 2 + 596 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 103796052596352.

It is not an unprimeable number, because it can be changed into a prime (103796052596351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2087964777 + ... + 2088014487.

It is an arithmetic number, because the mean of its divisors is an integer number (1570869807780).

Almost surely, 2^{103796052596352} is an apocalyptic number.

103796052596352 is a gapful number since it is divisible by the number (12) 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 103796052596352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150803501546880).

103796052596352 is an abundant number, since it is smaller than the sum of its proper divisors (197810950497408).

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

103796052596352 is a wasteful number, since it uses less digits than its factorization.

103796052596352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67431 (or 67416 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 103796052596352 in words is "one hundred three trillion, seven hundred ninety-six billion, fifty-two million, five hundred ninety-six thousand, three hundred fifty-two".