103774013772 has 192 divisors, whose sum is σ = 297046310400. Its totient is φ = 27763384320.

The previous prime is 103774013771. The next prime is 103774013797. The reversal of 103774013772 is 277310477301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103774013771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5315004 + ... + 5334492.

It is an arithmetic number, because the mean of its divisors is an integer number (1547116200).

Almost surely, 2^103774013772 is an apocalyptic number.

103774013772 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 103774013772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148523155200).

103774013772 is an abundant number, since it is smaller than the sum of its proper divisors (193272296628).

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

103774013772 is a wasteful number, since it uses less digits than its factorization.

103774013772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19656 (or 19654 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 42.

The spelling of 103774013772 in words is "one hundred three billion, seven hundred seventy-four million, thirteen thousand, seven hundred seventy-two".