106788300 has 72 divisors (see below), whose sum is σ = 311178000. Its totient is φ = 28273920.

The previous prime is 106788293. The next prime is 106788323. The reversal of 106788300 is 3887601.

It is a super-2 number, since 2×106788300² = 22807482033780000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43506 + ... + 45894.

Almost surely, 2^106788300 is an apocalyptic number.

106788300 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 106788300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155589000).

106788300 is an abundant number, since it is smaller than the sum of its proper divisors (204389700).

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

106788300 is a wasteful number, since it uses less digits than its factorization.

106788300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106788300 is about 10333.8424605758. The cubic root of 106788300 is about 474.4326374512.

The spelling of 106788300 in words is "one hundred six million, seven hundred eighty-eight thousand, three hundred".