101488720 has 40 divisors (see below), whose sum is σ = 237357576. Its totient is φ = 40355328.

The previous prime is 101488711. The next prime is 101488733. The reversal of 101488720 is 27884101.

It can be written as a sum of positive squares in 4 ways, for example, as 4426816 + 97061904 = 2104^2 + 9852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10174 + ... + 17506.

Almost surely, 2^101488720 is an apocalyptic number.

101488720 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 101488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118678788).

101488720 is an abundant number, since it is smaller than the sum of its proper divisors (135868856).

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

101488720 is a wasteful number, since it uses less digits than its factorization.

101488720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7519 (or 7513 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 101488720 is about 10074.1610072502. The cubic root of 101488720 is about 466.4508889060.

The spelling of 101488720 in words is "one hundred one million, four hundred eighty-eight thousand, seven hundred twenty".