106126700 has 36 divisors (see below), whose sum is σ = 231495600. Its totient is φ = 42229440.

The previous prime is 106126681. The next prime is 106126711. The reversal of 106126700 is 7621601.

It is a super-2 number, since 2×106126700² = 22525752905780000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17234 + ... + 22566.

Almost surely, 2^106126700 is an apocalyptic number.

106126700 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 106126700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115747800).

106126700 is an abundant number, since it is smaller than the sum of its proper divisors (125368900).

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

106126700 is a wasteful number, since it uses less digits than its factorization.

106126700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106126700 is about 10301.7813993503. The cubic root of 106126700 is about 473.4508348548.

The spelling of 106126700 in words is "one hundred six million, one hundred twenty-six thousand, seven hundred".