105202340202400 has 72 divisors (see below), whose sum is σ = 293514529180320. Its totient is φ = 36069373781760.

The previous prime is 105202340202373. The next prime is 105202340202403. The reversal of 105202340202400 is 4202043202501.

It is a super-2 number, since 2×105202340202400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (105202340202403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9393060490 + ... + 9393071689.

It is an arithmetic number, because the mean of its divisors is an integer number (4076590683060).

Almost surely, 2^{105202340202400} is an apocalyptic number.

105202340202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105202340202400 is an abundant number, since it is smaller than the sum of its proper divisors (188312188977920).

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

105202340202400 is a wasteful number, since it uses less digits than its factorization.

105202340202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18786132206 (or 18786132193 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 105202340202400 its reverse (4202043202501), we get a palindrome (109404383404901).

The spelling of 105202340202400 in words is "one hundred five trillion, two hundred two billion, three hundred forty million, two hundred two thousand, four hundred".