103620720 has 160 divisors (see below), whose sum is σ = 377261568. Its totient is φ = 23030784.

The previous prime is 103620707. The next prime is 103620721. The reversal of 103620720 is 27026301.

It is a happy number.

It is a super-3 number, since 3×103620720³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103620721) 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, 61327 + ... + 62993.

Almost surely, 2^103620720 is an apocalyptic number.

103620720 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 103620720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188630784).

103620720 is an abundant number, since it is smaller than the sum of its proper divisors (273640848).

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

103620720 is a wasteful number, since it uses less digits than its factorization.

103620720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 103620720 is about 10179.4263099646. The cubic root of 103620720 is about 469.6945653979.

The spelling of 103620720 in words is "one hundred three million, six hundred twenty thousand, seven hundred twenty".