105487948800 has 792 divisors, whose sum is σ = 417156164880. Its totient is φ = 25303449600.

The previous prime is 105487948777. The next prime is 105487948831. The reversal of 105487948800 is 8849784501.

105487948800 is a `hidden beast` number, since 1 + 0 + 548 + 7 + 94 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×105487948800² (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 71 ways as a sum of consecutive naturals, for example, 122802771 + ... + 122803629.

Almost surely, 2^105487948800 is an apocalyptic number.

105487948800 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 105487948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208578082440).

105487948800 is an abundant number, since it is smaller than the sum of its proper divisors (311668216080).

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

105487948800 is a wasteful number, since it uses less digits than its factorization.

105487948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 105487948800 in words is "one hundred five billion, four hundred eighty-seven million, nine hundred forty-eight thousand, eight hundred".