105006800 has 60 divisors (see below), whose sum is σ = 255549120. Its totient is φ = 41458560.

The previous prime is 105006791. The next prime is 105006823. The reversal of 105006800 is 8600501.

It is a super-2 number, since 2×105006800² = 22052856092480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29939 + ... + 33261.

It is an arithmetic number, because the mean of its divisors is an integer number (4259152).

Almost surely, 2^105006800 is an apocalyptic number.

105006800 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 105006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127774560).

105006800 is an abundant number, since it is smaller than the sum of its proper divisors (150542320).

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

105006800 is a wasteful number, since it uses less digits than its factorization.

105006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 105006800 is about 10247.2825666125. The cubic root of 105006800 is about 471.7795820401.

The spelling of 105006800 in words is "one hundred five million, six thousand, eight hundred".