105254620000 has 120 divisors (see below), whose sum is σ = 264453922656. Its totient is φ = 41205696000.

The previous prime is 105254619971. The next prime is 105254620007. The reversal of 105254620000 is 26452501.

It is a super-3 number, since 3×105254620000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105254620007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 884014 + ... + 995986.

Almost surely, 2^105254620000 is an apocalyptic number.

105254620000 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 105254620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132226961328).

105254620000 is an abundant number, since it is smaller than the sum of its proper divisors (159199302656).

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

105254620000 is an equidigital number, since it uses as much as digits as its factorization.

105254620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112050 (or 112027 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 105254620000 in words is "one hundred five billion, two hundred fifty-four million, six hundred twenty thousand".