105089400 has 240 divisors, whose sum is σ = 393855000. Its totient is φ = 25816320.

The previous prime is 105089357. The next prime is 105089401. The reversal of 105089400 is 4980501.

105089400 = T₂₈₈₇ + T₂₈₈₈ + ... + T₂₉₁₁.

It is a super-2 number, since 2×105089400² = 22087563984720000, 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 not an unprimeable number, because it can be changed into a prime (105089401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 210351 + ... + 210849.

Almost surely, 2^105089400 is an apocalyptic number.

105089400 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 105089400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196927500).

105089400 is an abundant number, since it is smaller than the sum of its proper divisors (288765600).

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

105089400 is a wasteful number, since it uses less digits than its factorization.

105089400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105089400 is about 10251.3121111397. The cubic root of 105089400 is about 471.9032526978.

The spelling of 105089400 in words is "one hundred five million, eighty-nine thousand, four hundred".