105676800 has 192 divisors, whose sum is σ = 357558960. Its totient is φ = 27525120.

The previous prime is 105676793. The next prime is 105676807. The reversal of 105676800 is 8676501.

It is an interprime number because it is at equal distance from previous prime (105676793) and next prime (105676807).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105676800² = 22335172116480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105676807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457579 + ... + 2457621.

Almost surely, 2^105676800 is an apocalyptic number.

105676800 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 105676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178779480).

105676800 is an abundant number, since it is smaller than the sum of its proper divisors (251882160).

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

105676800 is an frugal number, since it uses more digits than its factorization.

105676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 105676800 is about 10279.9221786938. The cubic root of 105676800 is about 472.7808581896.

The spelling of 105676800 in words is "one hundred five million, six hundred seventy-six thousand, eight hundred".