105456798720 has 1408 divisors, whose sum is σ = 471440148480. Its totient is φ = 21764505600.

The previous prime is 105456798697. The next prime is 105456798767. The reversal of 105456798720 is 27897654501.

105456798720 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 567 + 9 + 8 + 72 + 0 = 666.

It is a super-2 number, since 2×105456798720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1044126670 + ... + 1044126770.

Almost surely, 2^105456798720 is an apocalyptic number.

105456798720 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 105456798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235720074240).

105456798720 is an abundant number, since it is smaller than the sum of its proper divisors (365983349760).

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

105456798720 is a wasteful number, since it uses less digits than its factorization.

105456798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 105456798720 in words is "one hundred five billion, four hundred fifty-six million, seven hundred ninety-eight thousand, seven hundred twenty".