106128000 has 384 divisors, whose sum is σ = 421986240. Its totient is φ = 25344000.

The previous prime is 106127993. The next prime is 106128013. The reversal of 106128000 is 821601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106128000² = 22526304768000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1583967 + ... + 1584033.

Almost surely, 2^106128000 is an apocalyptic number.

106128000 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 106128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210993120).

106128000 is an abundant number, since it is smaller than the sum of its proper divisors (315858240).

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

106128000 is a wasteful number, since it uses less digits than its factorization.

106128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106128000 is about 10301.8444950407. The cubic root of 106128000 is about 473.4527680270.

Adding to 106128000 its reverse (821601), we get a palindrome (106949601).

The spelling of 106128000 in words is "one hundred six million, one hundred twenty-eight thousand".