103001994720 has 288 divisors, whose sum is σ = 357440900544. Its totient is φ = 27004723200.

The previous prime is 103001994707. The next prime is 103001994737. The reversal of 103001994720 is 27499100301.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43041844 + ... + 43044236.

It is an arithmetic number, because the mean of its divisors is an integer number (1241114238).

Almost surely, 2^103001994720 is an apocalyptic number.

103001994720 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 103001994720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178720450272).

103001994720 is an abundant number, since it is smaller than the sum of its proper divisors (254438905824).

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

103001994720 is a wasteful number, since it uses less digits than its factorization.

103001994720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 103001994720 in words is "one hundred three billion, one million, nine hundred ninety-four thousand, seven hundred twenty".