101700720 has 120 divisors (see below), whose sum is σ = 372623472. Its totient is φ = 24652800.

The previous prime is 101700667. The next prime is 101700721. The reversal of 101700720 is 27007101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101700693 and 101700702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101700721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1500 + ... + 14340.

Almost surely, 2^101700720 is an apocalyptic number.

101700720 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 101700720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186311736).

101700720 is an abundant number, since it is smaller than the sum of its proper divisors (270922752).

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

101700720 is a wasteful number, since it uses less digits than its factorization.

101700720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12871 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 101700720 is about 10084.6774861668. The cubic root of 101700720 is about 466.7754530965.

Adding to 101700720 its reverse (27007101), we get a palindrome (128707821).

The spelling of 101700720 in words is "one hundred one million, seven hundred thousand, seven hundred twenty".