105248472000 has 672 divisors, whose sum is σ = 417455640576. Its totient is φ = 23272704000.

The previous prime is 105248471893. The next prime is 105248472067. The reversal of 105248472000 is 274842501.

105248472000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×105248472000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36454557 + ... + 36457443.

Almost surely, 2^105248472000 is an apocalyptic number.

105248472000 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 105248472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208727820288).

105248472000 is an abundant number, since it is smaller than the sum of its proper divisors (312207168576).

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

105248472000 is a wasteful number, since it uses less digits than its factorization.

105248472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 105248472000 in words is "one hundred five billion, two hundred forty-eight million, four hundred seventy-two thousand".