10116720 has 60 divisors (see below), whose sum is σ = 33977736. Its totient is φ = 2697600.

The previous prime is 10116713. The next prime is 10116727. The reversal of 10116720 is 2761101.

10116720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10116713) and next prime (10116727).

It is a tau number, because it is divible by the number of its divisors (60).

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 = 10116693 and 10116702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6306 + ... + 7745.

Almost surely, 2^10116720 is an apocalyptic number.

10116720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10116720 is an abundant number, since it is smaller than the sum of its proper divisors (23861016).

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

10116720 is a wasteful number, since it uses less digits than its factorization.

10116720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14070 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10116720 is about 3180.6791727554. The cubic root of 10116720 is about 216.2784474810.

Adding to 10116720 its reverse (2761101), we get a palindrome (12877821).

The spelling of 10116720 in words is "ten million, one hundred sixteen thousand, seven hundred twenty".