103742616000 has 224 divisors, whose sum is σ = 353610915840. Its totient is φ = 26772096000.

The previous prime is 103742615993. The next prime is 103742616037. The reversal of 103742616000 is 616247301.

103742616000 is digitally balanced in base 7, 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674281 + ... + 813719.

It is an arithmetic number, because the mean of its divisors is an integer number (1578620160).

Almost surely, 2^103742616000 is an apocalyptic number.

103742616000 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 103742616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176805457920).

103742616000 is an abundant number, since it is smaller than the sum of its proper divisors (249868299840).

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

103742616000 is a wasteful number, since it uses less digits than its factorization.

103742616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139500 (or 139480 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

It can be divided in two parts, 1037426 and 16000, that added together give a triangular number (1053426 = T₁₄₅₁).

The spelling of 103742616000 in words is "one hundred three billion, seven hundred forty-two million, six hundred sixteen thousand".