948688100 has 18 divisors (see below), whose sum is σ = 2058653394. Its totient is φ = 379475200.

The previous prime is 948688093. The next prime is 948688121. The reversal of 948688100 is 1886849.

It is a happy number.

948688100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 171505216 + 777182884 = 13096^2 + 27878^2 .

It is a super-2 number, since 2×948688100² = 1800018222163220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4743341 + ... + 4743540.

It is an arithmetic number, because the mean of its divisors is an integer number (114369633).

Almost surely, 2^948688100 is an apocalyptic number.

It is an amenable number.

948688100 is an abundant number, since it is smaller than the sum of its proper divisors (1109965294).

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

948688100 is a wasteful number, since it uses less digits than its factorization.

948688100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486895 (or 9486888 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 948688100 is about 30800.7808342581. The cubic root of 948688100 is about 982.5948517136.

The spelling of 948688100 in words is "nine hundred forty-eight million, six hundred eighty-eight thousand, one hundred".