105478200 has 240 divisors, whose sum is σ = 388903680. Its totient is φ = 26403840.

The previous prime is 105478189. The next prime is 105478223. The reversal of 105478200 is 2874501.

It is a super-2 number, since 2×105478200² = 22251301350480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275209 + ... + 275591.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^105478200 is an apocalyptic number.

105478200 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 105478200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

105478200 is an abundant number, since it is smaller than the sum of its proper divisors (283425480).

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

105478200 is a wasteful number, since it uses less digits than its factorization.

105478200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105478200 is about 10270.2580298647. The cubic root of 105478200 is about 472.4845044049.

The spelling of 105478200 in words is "one hundred five million, four hundred seventy-eight thousand, two hundred".