103620000 has 240 divisors, whose sum is σ = 373155552. Its totient is φ = 24960000.

The previous prime is 103619969. The next prime is 103620001. The reversal of 103620000 is 26301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×103620000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (103620001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659922 + ... + 660078.

Almost surely, 2^103620000 is an apocalyptic number.

103620000 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 103620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186577776).

103620000 is an abundant number, since it is smaller than the sum of its proper divisors (269535552).

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

103620000 is a wasteful number, since it uses less digits than its factorization.

103620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103620000 is about 10179.3909444524. The cubic root of 103620000 is about 469.6934775174.

Adding to 103620000 its reverse (26301), we get a palindrome (103646301).

The spelling of 103620000 in words is "one hundred three million, six hundred twenty thousand".