105049348992 has 96 divisors (see below), whose sum is σ = 345474820080. Its totient is φ = 30014097408.

The previous prime is 105049348991. The next prime is 105049349021. The reversal of 105049348992 is 299843940501.

105049348992 is a `hidden beast` number, since 1 + 0 + 504 + 9 + 3 + 48 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105049348992² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105049348991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6505413 + ... + 6521540.

Almost surely, 2^105049348992 is an apocalyptic number.

105049348992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105049348992 is an abundant number, since it is smaller than the sum of its proper divisors (240425471088).

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

105049348992 is a wasteful number, since it uses less digits than its factorization.

105049348992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13026980 (or 13026965 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 105049348992 in words is "one hundred five billion, forty-nine million, three hundred forty-eight thousand, nine hundred ninety-two".