101030720 has 224 divisors, whose sum is σ = 300215808. Its totient is φ = 31629312.

The previous prime is 101030689. The next prime is 101030723. The reversal of 101030720 is 27030101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101030695 and 101030704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1906214 + ... + 1906266.

Almost surely, 2^101030720 is an apocalyptic number.

101030720 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 101030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150107904).

101030720 is an abundant number, since it is smaller than the sum of its proper divisors (199185088).

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

101030720 is a wasteful number, since it uses less digits than its factorization.

101030720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 101030720 is about 10051.4038820455. The cubic root of 101030720 is about 465.7481616153.

Adding to 101030720 its reverse (27030101), we get a palindrome (128060821).

The spelling of 101030720 in words is "one hundred one million, thirty thousand, seven hundred twenty".