106946600 has 48 divisors (see below), whose sum is σ = 250504800. Its totient is φ = 42459840.

The previous prime is 106946597. The next prime is 106946629. The reversal of 106946600 is 6649601.

It is a super-2 number, since 2×106946600² = 22875150503120000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 25877 + ... + 29723.

It is an arithmetic number, because the mean of its divisors is an integer number (5218850).

Almost surely, 2^106946600 is an apocalyptic number.

106946600 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 106946600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125252400).

106946600 is an abundant number, since it is smaller than the sum of its proper divisors (143558200).

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

106946600 is a wasteful number, since it uses less digits than its factorization.

106946600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 106946600 is about 10341.4989242372. The cubic root of 106946600 is about 474.6669502832. Note that the first 3 decimals are identical.

The spelling of 106946600 in words is "one hundred six million, nine hundred forty-six thousand, six hundred".