103140720 has 120 divisors (see below), whose sum is σ = 357631872. Its totient is φ = 26611200.

The previous prime is 103140677. The next prime is 103140727. The reversal of 103140720 is 27041301.

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 = 103140693 and 103140702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103140727) 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, 20010 + ... + 24630.

Almost surely, 2^103140720 is an apocalyptic number.

103140720 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 103140720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178815936).

103140720 is an abundant number, since it is smaller than the sum of its proper divisors (254491152).

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

103140720 is a wasteful number, since it uses less digits than its factorization.

103140720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 103140720 is about 10155.8219755961. The cubic root of 103140720 is about 468.9681906889.

The spelling of 103140720 in words is "one hundred three million, one hundred forty thousand, seven hundred twenty".