106848100 has 18 divisors (see below), whose sum is σ = 231860594. Its totient is φ = 42739200.

The previous prime is 106848097. The next prime is 106848107. The reversal of 106848100 is 1848601.

It can be written as a sum of positive squares in 3 ways, for example, as 675684 + 106172416 = 822^2 + 10304^2 .

It is a super-2 number, since 2×106848100² = 22833032947220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106848107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 534141 + ... + 534340.

Almost surely, 2^106848100 is an apocalyptic number.

106848100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106848100 is an abundant number, since it is smaller than the sum of its proper divisors (125012494).

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

106848100 is a wasteful number, since it uses less digits than its factorization.

106848100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068495 (or 1068488 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 106848100 is about 10336.7354614501. The cubic root of 106848100 is about 474.5211795404.

The spelling of 106848100 in words is "one hundred six million, eight hundred forty-eight thousand, one hundred".