103768297200 has 180 divisors, whose sum is σ = 366899920920. Its totient is φ = 27149391360.

The previous prime is 103768297187. The next prime is 103768297207. The reversal of 103768297200 is 2792867301.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103768297207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81130 + ... + 462729.

It is an arithmetic number, because the mean of its divisors is an integer number (2038332894).

Almost surely, 2^103768297200 is an apocalyptic number.

103768297200 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 103768297200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183449960460).

103768297200 is an abundant number, since it is smaller than the sum of its proper divisors (263131623720).

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

103768297200 is a wasteful number, since it uses less digits than its factorization.

103768297200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543936 (or 543922 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 103768297200 in words is "one hundred three billion, seven hundred sixty-eight million, two hundred ninety-seven thousand, two hundred".