106886400 has 216 divisors, whose sum is σ = 372580320. Its totient is φ = 26910720.

The previous prime is 106886399. The next prime is 106886459. The reversal of 106886400 is 4688601.

It is a super-2 number, since 2×106886400² = 22849405009920000, which contains 22 as substring.

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, 364654 + ... + 364946.

Almost surely, 2^106886400 is an apocalyptic number.

106886400 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 106886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186290160).

106886400 is an abundant number, since it is smaller than the sum of its proper divisors (265693920).

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

106886400 is a wasteful number, since it uses less digits than its factorization.

106886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 106886400 is about 10338.5879113155. The cubic root of 106886400 is about 474.5778705815.

The spelling of 106886400 in words is "one hundred six million, eight hundred eighty-six thousand, four hundred".