105002052254400 has 252 divisors, whose sum is σ = 400738190427528. Its totient is φ = 24000469032960.

The previous prime is 105002052254399. The next prime is 105002052254431. The reversal of 105002052254400 is 4452250200501.

It is a super-2 number, since 2×105002052254400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222983449 + ... + 223453848.

Almost surely, 2^{105002052254400} is an apocalyptic number.

105002052254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105002052254400 is an abundant number, since it is smaller than the sum of its proper divisors (295736138173128).

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

105002052254400 is a wasteful number, since it uses less digits than its factorization.

105002052254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446437336 (or 446437314 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 105002052254400 in words is "one hundred five trillion, two billion, fifty-two million, two hundred fifty-four thousand, four hundred".