106324400 has 240 divisors, whose sum is σ = 330645504. Its totient is φ = 31933440.

The previous prime is 106324397. The next prime is 106324429. The reversal of 106324400 is 4423601.

It is a happy number.

It is a super-2 number, since 2×106324400² = 22609756070720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 837137 + ... + 837263.

Almost surely, 2^106324400 is an apocalyptic number.

106324400 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 106324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322752).

106324400 is an abundant number, since it is smaller than the sum of its proper divisors (224321104).

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

106324400 is a wasteful number, since it uses less digits than its factorization.

106324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 106324400 is about 10311.3723625907. The cubic root of 106324400 is about 473.7446445743.

The spelling of 106324400 in words is "one hundred six million, three hundred twenty-four thousand, four hundred".