105149071008 has 576 divisors, whose sum is σ = 338806540800. Its totient is φ = 30795448320.

The previous prime is 105149070893. The next prime is 105149071031. The reversal of 105149071008 is 800170941501.

105149071008 is a `hidden beast` number, since 10 + 51 + 490 + 7 + 100 + 8 = 666.

It is a super-2 number, since 2×105149071008² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439954153 + ... + 439954391.

It is an arithmetic number, because the mean of its divisors is an integer number (588205800).

Almost surely, 2^105149071008 is an apocalyptic number.

105149071008 is a gapful number since it is divisible by the number (18) 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 105149071008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169403270400).

105149071008 is an abundant number, since it is smaller than the sum of its proper divisors (233657469792).

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

105149071008 is a wasteful number, since it uses less digits than its factorization.

105149071008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 105149071008 in words is "one hundred five billion, one hundred forty-nine million, seventy-one thousand, eight".