105493248000 has 1152 divisors, whose sum is σ = 450710507520. Its totient is φ = 23224320000.

The previous prime is 105493247987. The next prime is 105493248001. The reversal of 105493248000 is 842394501.

105493248000 is a `hidden beast` number, since 1 + 0 + 549 + 32 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×105493248000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105493248001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499967895 + ... + 499968105.

It is an arithmetic number, because the mean of its divisors is an integer number (391241760).

Almost surely, 2^105493248000 is an apocalyptic number.

105493248000 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 105493248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225355253760).

105493248000 is an abundant number, since it is smaller than the sum of its proper divisors (345217259520).

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

105493248000 is a wasteful number, since it uses less digits than its factorization.

105493248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 105493248000 in words is "one hundred five billion, four hundred ninety-three million, two hundred forty-eight thousand".