106773600 has 144 divisors (see below), whose sum is σ = 368132688. Its totient is φ = 26787840.

The previous prime is 106773577. The next prime is 106773619. The reversal of 106773600 is 6377601.

It is a super-2 number, since 2×106773600² = 22801203313920000, which contains 22 as substring.

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, 39492 + ... + 42108.

It is an arithmetic number, because the mean of its divisors is an integer number (2556477).

Almost surely, 2^106773600 is an apocalyptic number.

106773600 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 106773600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184066344).

106773600 is an abundant number, since it is smaller than the sum of its proper divisors (261359088).

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

106773600 is a wasteful number, since it uses less digits than its factorization.

106773600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 106773600 is about 10333.1311808183. The cubic root of 106773600 is about 474.4108670269.

The spelling of 106773600 in words is "one hundred six million, seven hundred seventy-three thousand, six hundred".