105948377874 has 96 divisors (see below), whose sum is σ = 244951185024. Its totient is φ = 32980677120.

The previous prime is 105948377869. The next prime is 105948377897. The reversal of 105948377874 is 478773849501.

105948377874 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 483 + 77 + 87 + 4 = 666.

It is a super-2 number, since 2×105948377874² (a number of 23 digits) contains 22 as substring.

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, 27857257 + ... + 27861059.

It is an arithmetic number, because the mean of its divisors is an integer number (2551574844).

Almost surely, 2^105948377874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105948377874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122475592512).

105948377874 is an abundant number, since it is smaller than the sum of its proper divisors (139002807150).

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

105948377874 is a wasteful number, since it uses less digits than its factorization.

105948377874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 105948377874 in words is "one hundred five billion, nine hundred forty-eight million, three hundred seventy-seven thousand, eight hundred seventy-four".