105010002400 has 72 divisors (see below), whose sum is σ = 261192673224. Its totient is φ = 41211456000.

The previous prime is 105010002373. The next prime is 105010002403. The reversal of 105010002400 is 4200010501.

It is a super-2 number, since 2×105010002400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010002403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1195926 + ... + 1280725.

It is an arithmetic number, because the mean of its divisors is an integer number (3627676017).

Almost surely, 2^105010002400 is an apocalyptic number.

105010002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010002400 is an abundant number, since it is smaller than the sum of its proper divisors (156182670824).

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

105010002400 is a wasteful number, since it uses less digits than its factorization.

105010002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476724 (or 2476711 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 105010002400 its reverse (4200010501), we get a palindrome (109210012901).

The spelling of 105010002400 in words is "one hundred five billion, ten million, two thousand, four hundred".