106646400 has 432 divisors, whose sum is σ = 454632360. Its totient is φ = 23316480.

The previous prime is 106646387. The next prime is 106646429. The reversal of 106646400 is 4646601.

106646400 is a `hidden beast` number, since 10 + 6 + 6 + 4 + 640 + 0 = 666.

It is a super-2 number, since 2×106646400² = 22746909265920000, 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 53 ways as a sum of consecutive naturals, for example, 4636789 + ... + 4636811.

Almost surely, 2^106646400 is an apocalyptic number.

106646400 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 106646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227316180).

106646400 is an abundant number, since it is smaller than the sum of its proper divisors (347985960).

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

106646400 is a wasteful number, since it uses less digits than its factorization.

106646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106646400 is about 10326.9743874961. The cubic root of 106646400 is about 474.2224027083. Note that the first 3 decimals are identical.

The spelling of 106646400 in words is "one hundred six million, six hundred forty-six thousand, four hundred".