105776000 has 128 divisors (see below), whose sum is σ = 287370720. Its totient is φ = 38400000.

The previous prime is 105775979. The next prime is 105776003. The reversal of 105776000 is 677501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105776000² = 22377124352000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105776003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175700 + ... + 176300.

Almost surely, 2^105776000 is an apocalyptic number.

105776000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143685360).

105776000 is an abundant number, since it is smaller than the sum of its proper divisors (181594720).

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

105776000 is an equidigital number, since it uses as much as digits as its factorization.

105776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 105776000 is about 10284.7459861681. The cubic root of 105776000 is about 472.9287468263.

It can be divided in two parts, 10 and 5776000, that multiplied together give a square (57760000 = 7600²).

The spelling of 105776000 in words is "one hundred five million, seven hundred seventy-six thousand".