105780913920 has 216 divisors, whose sum is σ = 399263325552. Its totient is φ = 25643827200.

The previous prime is 105780913907. The next prime is 105780913939. The reversal of 105780913920 is 29319087501.

105780913920 is a `hidden beast` number, since 105 + 78 + 0 + 91 + 392 + 0 = 666.

It is a super-2 number, since 2×105780913920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290661 + ... + 544100.

It is an arithmetic number, because the mean of its divisors is an integer number (1848441322).

Almost surely, 2^105780913920 is an apocalyptic number.

105780913920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105780913920 is an abundant number, since it is smaller than the sum of its proper divisors (293482411632).

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

105780913920 is a wasteful number, since it uses less digits than its factorization.

105780913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834799 (or 834782 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 105780913920 in words is "one hundred five billion, seven hundred eighty million, nine hundred thirteen thousand, nine hundred twenty".