105974802048 has 32 divisors (see below), whose sum is σ = 281495568960. Its totient is φ = 35324933888.

The previous prime is 105974801957. The next prime is 105974802049. The reversal of 105974802048 is 840208479501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105974802048² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 105974801988 and 105974802006.

It is not an unprimeable number, because it can be changed into a prime (105974802049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137987640 + ... + 137988407.

It is an arithmetic number, because the mean of its divisors is an integer number (8796736530).

Almost surely, 2^105974802048 is an apocalyptic number.

It is an amenable number.

105974802048 is an abundant number, since it is smaller than the sum of its proper divisors (175520766912).

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

105974802048 is an equidigital number, since it uses as much as digits as its factorization.

105974802048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275976064 (or 275976052 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 105974802048 in words is "one hundred five billion, nine hundred seventy-four million, eight hundred two thousand, forty-eight".