106604400 has 300 divisors, whose sum is σ = 409147672. Its totient is φ = 23708160.

The previous prime is 106604341. The next prime is 106604401. The reversal of 106604400 is 4406601.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×106604400² = 22728996198720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106604401) 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, 2881182 + ... + 2881218.

Almost surely, 2^106604400 is an apocalyptic number.

106604400 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 106604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204573836).

106604400 is an abundant number, since it is smaller than the sum of its proper divisors (302543272).

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

106604400 is an equidigital number, since it uses as much as digits as its factorization.

106604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106604400 is about 10324.9406777957. The cubic root of 106604400 is about 474.1601410157.

The spelling of 106604400 in words is "one hundred six million, six hundred four thousand, four hundred".