106559400 has 192 divisors, whose sum is σ = 362119680. Its totient is φ = 25804800.

The previous prime is 106559399. The next prime is 106559419. The reversal of 106559400 is 4955601.

It is a super-2 number, since 2×106559400² = 22709811456720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 316032 + ... + 316368.

It is an arithmetic number, because the mean of its divisors is an integer number (1886040).

Almost surely, 2^106559400 is an apocalyptic number.

106559400 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 106559400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

106559400 is an abundant number, since it is smaller than the sum of its proper divisors (255560280).

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

106559400 is a wasteful number, since it uses less digits than its factorization.

106559400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 106559400 is about 10322.7612585006. The cubic root of 106559400 is about 474.0934139095.

The spelling of 106559400 in words is "one hundred six million, five hundred fifty-nine thousand, four hundred".