106622400 has 168 divisors, whose sum is σ = 354959920. Its totient is φ = 28016640.

The previous prime is 106622323. The next prime is 106622443. The reversal of 106622400 is 4226601.

It is a happy number.

It is a super-2 number, since 2×106622400² = 22736672363520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465486 + ... + 465714.

Almost surely, 2^106622400 is an apocalyptic number.

106622400 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 106622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177479960).

106622400 is an abundant number, since it is smaller than the sum of its proper divisors (248337520).

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

106622400 is a wasteful number, since it uses less digits than its factorization.

106622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

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

The square root of 106622400 is about 10325.8123167139. The cubic root of 106622400 is about 474.1868266003.

The spelling of 106622400 in words is "one hundred six million, six hundred twenty-two thousand, four hundred".