100852308 has 36 divisors (see below), whose sum is σ = 257804820. Its totient is φ = 33238656.

The previous prime is 100852307. The next prime is 100852319. The reversal of 100852308 is 803258001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42146064 + 58706244 = 6492^2 + 7662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100852307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12535 + ... + 18942.

It is an arithmetic number, because the mean of its divisors is an integer number (7161245).

Almost surely, 2^100852308 is an apocalyptic number.

100852308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100852308 is an abundant number, since it is smaller than the sum of its proper divisors (156952512).

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

100852308 is a wasteful number, since it uses less digits than its factorization.

100852308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31576 (or 31571 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100852308 is about 10042.5249812983. The cubic root of 100852308 is about 465.4738423387.

The spelling of 100852308 in words is "one hundred million, eight hundred fifty-two thousand, three hundred eight".