106288000 has 256 divisors, whose sum is σ = 329696640. Its totient is φ = 33177600.

The previous prime is 106287997. The next prime is 106288019. The reversal of 106288000 is 882601.

It is a super-2 number, since 2×106288000² = 22594277888000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1455964 + ... + 1456036.

Almost surely, 2^106288000 is an apocalyptic number.

106288000 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 106288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164848320).

106288000 is an abundant number, since it is smaller than the sum of its proper divisors (223408640).

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

106288000 is an equidigital number, since it uses as much as digits as its factorization.

106288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 106288000 is about 10309.6071700138. The cubic root of 106288000 is about 473.6905764793.

The spelling of 106288000 in words is "one hundred six million, two hundred eighty-eight thousand".