101988720 has 100 divisors (see below), whose sum is σ = 354244440. Its totient is φ = 27195264.

The previous prime is 101988707. The next prime is 101988721. The reversal of 101988720 is 27889101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101988721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1390 + ... + 14349.

Almost surely, 2^101988720 is an apocalyptic number.

101988720 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 101988720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177122220).

101988720 is an abundant number, since it is smaller than the sum of its proper divisors (252255720).

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

101988720 is a wasteful number, since it uses less digits than its factorization.

101988720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15764 (or 15749 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 101988720 is about 10098.9464797077. The cubic root of 101988720 is about 467.2156487143.

The spelling of 101988720 in words is "one hundred one million, nine hundred eighty-eight thousand, seven hundred twenty".