106773300 has 216 divisors, whose sum is σ = 357477120. Its totient is φ = 26611200.

The previous prime is 106773299. The next prime is 106773341. The reversal of 106773300 is 3377601.

It is a super-2 number, since 2×106773300² = 22801075185780000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199656 + ... + 1199744.

Almost surely, 2^106773300 is an apocalyptic number.

106773300 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 106773300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

106773300 is an abundant number, since it is smaller than the sum of its proper divisors (250703820).

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

106773300 is a wasteful number, since it uses less digits than its factorization.

106773300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 106773300 is about 10333.1166643951. The cubic root of 106773300 is about 474.4104227117.

The spelling of 106773300 in words is "one hundred six million, seven hundred seventy-three thousand, three hundred".