105100800 has 480 divisors, whose sum is σ = 438400512. Its totient is φ = 21626880.

The previous prime is 105100781. The next prime is 105100811. The reversal of 105100800 is 8001501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105100800² = 22092356321280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105100800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4569589 + ... + 4569611.

Almost surely, 2^105100800 is an apocalyptic number.

105100800 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 105100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219200256).

105100800 is an abundant number, since it is smaller than the sum of its proper divisors (333299712).

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

105100800 is a wasteful number, since it uses less digits than its factorization.

105100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 105100800 is about 10251.8681224448. The cubic root of 105100800 is about 471.9203159556.

The spelling of 105100800 in words is "one hundred five million, one hundred thousand, eight hundred".