105151800 has 288 divisors, whose sum is σ = 379864080. Its totient is φ = 23961600.

The previous prime is 105151793. The next prime is 105151801. The reversal of 105151800 is 8151501.

It is a super-2 number, since 2×105151800² = 22113802086480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105151801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1723770 + ... + 1723830.

Almost surely, 2^105151800 is an apocalyptic number.

105151800 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 105151800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189932040).

105151800 is an abundant number, since it is smaller than the sum of its proper divisors (274712280).

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

105151800 is a wasteful number, since it uses less digits than its factorization.

105151800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

The square root of 105151800 is about 10254.3551723158. The cubic root of 105151800 is about 471.9966364790.

The spelling of 105151800 in words is "one hundred five million, one hundred fifty-one thousand, eight hundred".