106230400 has 96 divisors (see below), whose sum is σ = 266082300. Its totient is φ = 41902080.

The previous prime is 106230361. The next prime is 106230401. The reversal of 106230400 is 4032601.

It can be written as a sum of positive squares in 6 ways, for example, as 24364096 + 81866304 = 4936^2 + 9048^2 .

It is a super-2 number, since 2×106230400² = 22569795768320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106230401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284614 + ... + 284986.

Almost surely, 2^106230400 is an apocalyptic number.

106230400 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 106230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133041150).

106230400 is an abundant number, since it is smaller than the sum of its proper divisors (159851900).

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

106230400 is an equidigital number, since it uses as much as digits as its factorization.

106230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 106230400 is about 10306.8132805441. The cubic root of 106230400 is about 473.6049929471.

The spelling of 106230400 in words is "one hundred six million, two hundred thirty thousand, four hundred".