103086720 has 192 divisors, whose sum is σ = 388571040. Its totient is φ = 24975360.

The previous prime is 103086719. The next prime is 103086727. The reversal of 103086720 is 27680301.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (103086727) 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 23 ways as a sum of consecutive naturals, for example, 62547 + ... + 64173.

Almost surely, 2^103086720 is an apocalyptic number.

103086720 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 103086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194285520).

103086720 is an abundant number, since it is smaller than the sum of its proper divisors (285484320).

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

103086720 is a wasteful number, since it uses less digits than its factorization.

103086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 103086720 is about 10153.1630539453. The cubic root of 103086720 is about 468.8863326114.

The spelling of 103086720 in words is "one hundred three million, eighty-six thousand, seven hundred twenty".