105212054000 has 40 divisors (see below), whose sum is σ = 254402751408. Its totient is φ = 42084820800.

The previous prime is 105212053993. The next prime is 105212054009. The reversal of 105212054000 is 450212501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105212054000² (a number of 23 digits) 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 not an unprimeable number, because it can be changed into a prime (105212054009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26301014 + ... + 26305013.

Almost surely, 2^105212054000 is an apocalyptic number.

105212054000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105212054000 is an abundant number, since it is smaller than the sum of its proper divisors (149190697408).

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

105212054000 is an equidigital number, since it uses as much as digits as its factorization.

105212054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52606050 (or 52606034 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 105212054000 its reverse (450212501), we get a palindrome (105662266501).

The spelling of 105212054000 in words is "one hundred five billion, two hundred twelve million, fifty-four thousand".