103727542380 has 384 divisors, whose sum is σ = 391242700800. Its totient is φ = 20285153280.

The previous prime is 103727542351. The next prime is 103727542393. The reversal of 103727542380 is 83245727301.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3834984 + ... + 3861936.

It is an arithmetic number, because the mean of its divisors is an integer number (1018861200).

Almost surely, 2^103727542380 is an apocalyptic number.

103727542380 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 103727542380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195621350400).

103727542380 is an abundant number, since it is smaller than the sum of its proper divisors (287515158420).

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

103727542380 is a wasteful number, since it uses less digits than its factorization.

103727542380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27014 (or 26998 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 103727542380 in words is "one hundred three billion, seven hundred twenty-seven million, five hundred forty-two thousand, three hundred eighty".