106706400 has 144 divisors (see below), whose sum is σ = 350696304. Its totient is φ = 28180480.

The previous prime is 106706389. The next prime is 106706441. The reversal of 106706400 is 4607601.

It is a super-2 number, since 2×106706400² = 22772511601920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 415072 + ... + 415328.

It is an arithmetic number, because the mean of its divisors is an integer number (2435391).

Almost surely, 2^106706400 is an apocalyptic number.

106706400 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 106706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175348152).

106706400 is an abundant number, since it is smaller than the sum of its proper divisors (243989904).

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

106706400 is a wasteful number, since it uses less digits than its factorization.

106706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 106706400 is about 10329.8789925149. The cubic root of 106706400 is about 474.3113196332.

The spelling of 106706400 in words is "one hundred six million, seven hundred six thousand, four hundred".