101852064 has 36 divisors (see below), whose sum is σ = 289642626. Its totient is φ = 33950592.

The previous prime is 101852063. The next prime is 101852099. The reversal of 101852064 is 460258101.

It can be written as a sum of positive squares in only one way, i.e., 101848464 + 3600 = 10092^2 + 60^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101852063) 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, 176539 + ... + 177114.

Almost surely, 2^101852064 is an apocalyptic number.

It is an amenable number.

101852064 is an abundant number, since it is smaller than the sum of its proper divisors (187790562).

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

101852064 is a wasteful number, since it uses less digits than its factorization.

101852064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353669 (or 353658 counting only the distinct ones).

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

The square root of 101852064 is about 10092.1783575202. The cubic root of 101852064 is about 467.0068793531.

It can be divided in two parts, 101 and 852064, that added together give a triangular number (852165 = T₁₃₀₅).

The spelling of 101852064 in words is "one hundred one million, eight hundred fifty-two thousand, sixty-four".