105053800 has 48 divisors (see below), whose sum is σ = 245168460. Its totient is φ = 41863680.

The previous prime is 105053797. The next prime is 105053803. The reversal of 105053800 is 8350501.

It is an interprime number because it is at equal distance from previous prime (105053797) and next prime (105053803).

It can be written as a sum of positive squares in 6 ways, for example, as 7873636 + 97180164 = 2806^2 + 9858^2 .

It is a super-2 number, since 2×105053800² = 22072601788880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105053803) 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, 62572 + ... + 64228.

Almost surely, 2^105053800 is an apocalyptic number.

105053800 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 105053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122584230).

105053800 is an abundant number, since it is smaller than the sum of its proper divisors (140114660).

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

105053800 is a wasteful number, since it uses less digits than its factorization.

105053800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105053800 is about 10249.5756009700. The cubic root of 105053800 is about 471.8499594917.

The spelling of 105053800 in words is "one hundred five million, fifty-three thousand, eight hundred".