105778560 has 128 divisors (see below), whose sum is σ = 346514400. Its totient is φ = 27426816.

The previous prime is 105778553. The next prime is 105778577. The reversal of 105778560 is 65877501.

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

It is a super-2 number, since 2×105778560² = 22378207511347200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70296 + ... + 71784.

Almost surely, 2^105778560 is an apocalyptic number.

105778560 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 105778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173257200).

105778560 is an abundant number, since it is smaller than the sum of its proper divisors (240735840).

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

105778560 is a wasteful number, since it uses less digits than its factorization.

105778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 105778560 is about 10284.8704415758. The cubic root of 105778560 is about 472.9325620831.

The spelling of 105778560 in words is "one hundred five million, seven hundred seventy-eight thousand, five hundred sixty".