106276800 has 168 divisors, whose sum is σ = 398613376. Its totient is φ = 24284160.

The previous prime is 106276771. The next prime is 106276811. The reversal of 106276800 is 8672601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×106276800² = 22589516436480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 32019 + ... + 35181.

Almost surely, 2^106276800 is an apocalyptic number.

106276800 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 106276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199306688).

106276800 is an abundant number, since it is smaller than the sum of its proper divisors (292336576).

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

106276800 is a wasteful number, since it uses less digits than its factorization.

106276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106276800 is about 10309.0639730288. The cubic root of 106276800 is about 473.6739376590.

The spelling of 106276800 in words is "one hundred six million, two hundred seventy-six thousand, eight hundred".