105002400 has 144 divisors (see below), whose sum is σ = 347415264. Its totient is φ = 27540480.

The previous prime is 105002393. The next prime is 105002437. The reversal of 105002400 is 4200501.

It is a super-2 number, since 2×105002400² = 22051008011520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160474 + ... + 161126.

It is an arithmetic number, because the mean of its divisors is an integer number (2412606).

Almost surely, 2^105002400 is an apocalyptic number.

105002400 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 105002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173707632).

105002400 is an abundant number, since it is smaller than the sum of its proper divisors (242412864).

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

105002400 is a wasteful number, since it uses less digits than its factorization.

105002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 105002400 is about 10247.0678732992. The cubic root of 105002400 is about 471.7729924378.

Adding to 105002400 its reverse (4200501), we get a palindrome (109202901).

The spelling of 105002400 in words is "one hundred five million, two thousand, four hundred".