106424400 has 120 divisors (see below), whose sum is σ = 344022624. Its totient is φ = 28121600.

The previous prime is 106424399. The next prime is 106424401. The reversal of 106424400 is 4424601.

It is an interprime number because it is at equal distance from previous prime (106424399) and next prime (106424401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106424400² = 22652305830720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106424401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156862 + ... + 157538.

Almost surely, 2^106424400 is an apocalyptic number.

106424400 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 106424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172011312).

106424400 is an abundant number, since it is smaller than the sum of its proper divisors (237598224).

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

106424400 is a wasteful number, since it uses less digits than its factorization.

106424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 106424400 is about 10316.2202380523. The cubic root of 106424400 is about 473.8931198069.

The spelling of 106424400 in words is "one hundred six million, four hundred twenty-four thousand, four hundred".