29720103000 has 512 divisors, whose sum is σ = 111105146880. Its totient is φ = 6471360000.

The previous prime is 29720102987. The next prime is 29720103011. The reversal of 29720103000 is 30102792.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 46220679 + ... + 46221321.

It is an arithmetic number, because the mean of its divisors is an integer number (217002240).

Almost surely, 2^29720103000 is an apocalyptic number.

29720103000 is a gapful number since it is divisible by the number (20) 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 29720103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552573440).

29720103000 is an abundant number, since it is smaller than the sum of its proper divisors (81385043880).

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

29720103000 is a wasteful number, since it uses less digits than its factorization.

29720103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 29720103000 its reverse (30102792), we get a palindrome (29750205792).

The spelling of 29720103000 in words is "twenty-nine billion, seven hundred twenty million, one hundred three thousand".