105011923680 has 144 divisors (see below), whose sum is σ = 366687200880. Its totient is φ = 27351926784.

The previous prime is 105011923649. The next prime is 105011923729. The reversal of 105011923680 is 86329110501.

105011923680 is a `hidden beast` number, since 1 + 0 + 501 + 1 + 92 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105011923680² (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 a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 786045 + ... + 909884.

It is an arithmetic number, because the mean of its divisors is an integer number (2546438895).

Almost surely, 2^105011923680 is an apocalyptic number.

105011923680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105011923680 is an abundant number, since it is smaller than the sum of its proper divisors (261675277200).

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

105011923680 is a wasteful number, since it uses less digits than its factorization.

105011923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695993 (or 1695982 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 105011923680 in words is "one hundred five billion, eleven million, nine hundred twenty-three thousand, six hundred eighty".