103770360960 has 512 divisors, whose sum is σ = 403428833280. Its totient is φ = 22146908160.

The previous prime is 103770360937. The next prime is 103770361007. The reversal of 103770360960 is 69063077301.

103770360960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29929147 + ... + 29932613.

It is an arithmetic number, because the mean of its divisors is an integer number (787946940).

Almost surely, 2^103770360960 is an apocalyptic number.

103770360960 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 103770360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201714416640).

103770360960 is an abundant number, since it is smaller than the sum of its proper divisors (299658472320).

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

103770360960 is a wasteful number, since it uses less digits than its factorization.

103770360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 42.

The spelling of 103770360960 in words is "one hundred three billion, seven hundred seventy million, three hundred sixty thousand, nine hundred sixty".