106682400 has 288 divisors, whose sum is σ = 421848000. Its totient is φ = 25804800.

The previous prime is 106682393. The next prime is 106682417. The reversal of 106682400 is 4286601.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106682400² = 22762268939520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237376 + ... + 237824.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^106682400 is an apocalyptic number.

106682400 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 106682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924000).

106682400 is an abundant number, since it is smaller than the sum of its proper divisors (315165600).

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

106682400 is a wasteful number, since it uses less digits than its factorization.

106682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106682400 is about 10328.7172485261. The cubic root of 106682400 is about 474.2757568640.

The spelling of 106682400 in words is "one hundred six million, six hundred eighty-two thousand, four hundred".