105684377778 has 64 divisors (see below), whose sum is σ = 271062339840. Its totient is φ = 29896560000.

The previous prime is 105684377767. The next prime is 105684377789. The reversal of 105684377778 is 877773486501.

105684377778 is a `hidden beast` number, since 1 + 0 + 5 + 68 + 437 + 77 + 78 = 666.

It is an interprime number because it is at equal distance from previous prime (105684377767) and next prime (105684377789).

It is a super-2 number, since 2×105684377778² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 31 ways as a sum of consecutive naturals, for example, 1345923 + ... + 1422278.

It is an arithmetic number, because the mean of its divisors is an integer number (4235349060).

Almost surely, 2^105684377778 is an apocalyptic number.

105684377778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105684377778 is an abundant number, since it is smaller than the sum of its proper divisors (165377962062).

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

105684377778 is a wasteful number, since it uses less digits than its factorization.

105684377778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768320 (or 2768314 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 105684377778 in words is "one hundred five billion, six hundred eighty-four million, three hundred seventy-seven thousand, seven hundred seventy-eight".