105481198152 has 192 divisors, whose sum is σ = 328434912000. Its totient is φ = 30246307200.

The previous prime is 105481198139. The next prime is 105481198177. The reversal of 105481198152 is 251891184501.

105481198152 is a `hidden beast` number, since 1 + 0 + 5 + 481 + 19 + 8 + 152 = 666.

It is a super-2 number, since 2×105481198152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105481198098 and 105481198107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14607999 + ... + 14615217.

It is an arithmetic number, because the mean of its divisors is an integer number (1710598500).

Almost surely, 2^105481198152 is an apocalyptic number.

105481198152 is a gapful number since it is divisible by the number (12) 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 105481198152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164217456000).

105481198152 is an abundant number, since it is smaller than the sum of its proper divisors (222953713848).

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

105481198152 is a wasteful number, since it uses less digits than its factorization.

105481198152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 105481198152 in words is "one hundred five billion, four hundred eighty-one million, one hundred ninety-eight thousand, one hundred fifty-two".