10203600 has 120 divisors (see below), whose sum is σ = 35703072. Its totient is φ = 2470400.

The previous prime is 10203581. The next prime is 10203607. The reversal of 10203600 is 630201.

10203600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10203600² = 208226905920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12814 + ... + 13586.

Almost surely, 2^10203600 is an apocalyptic number.

10203600 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 10203600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17851536).

10203600 is an abundant number, since it is smaller than the sum of its proper divisors (25499472).

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

10203600 is a wasteful number, since it uses less digits than its factorization.

10203600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 794 counting only the distinct ones).

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

The square root of 10203600 is about 3194.3074366754. The cubic root of 10203600 is about 216.8957996755.

Adding to 10203600 its reverse (630201), we get a palindrome (10833801).

The spelling of 10203600 in words is "ten million, two hundred three thousand, six hundred".