105203540 has 96 divisors (see below), whose sum is σ = 248935680. Its totient is φ = 37094400.

The previous prime is 105203521. The next prime is 105203573. The reversal of 105203540 is 45302501.

It is a super-2 number, since 2×105203540² = 22135569657063200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756791 + ... + 756929.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2^105203540 is an apocalyptic number.

105203540 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 105203540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124467840).

105203540 is an abundant number, since it is smaller than the sum of its proper divisors (143732140).

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

105203540 is a wasteful number, since it uses less digits than its factorization.

105203540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105203540 is about 10256.8776925534. The cubic root of 105203540 is about 472.0740391850.

The spelling of 105203540 in words is "one hundred five million, two hundred three thousand, five hundred forty".