105778530625760 has 48 divisors (see below), whose sum is σ = 249903871963200. Its totient is φ = 42311057819136.

The previous prime is 105778530625759. The next prime is 105778530625799. The reversal of 105778530625760 is 67526035877501.

It is a super-2 number, since 2×105778530625760² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105778530625693 and 105778530625702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16823081 + ... + 22238999.

It is an arithmetic number, because the mean of its divisors is an integer number (5206330665900).

Almost surely, 2^{105778530625760} is an apocalyptic number.

105778530625760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105778530625760 is an abundant number, since it is smaller than the sum of its proper divisors (144125341337440).

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

105778530625760 is a wasteful number, since it uses less digits than its factorization.

105778530625760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538003 (or 5537995 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 62.

The spelling of 105778530625760 in words is "one hundred five trillion, seven hundred seventy-eight billion, five hundred thirty million, six hundred twenty-five thousand, seven hundred sixty".