66102036 has 96 divisors (see below), whose sum is σ = 207126528. Its totient is φ = 15845760.

The previous prime is 66102019. The next prime is 66102041. The reversal of 66102036 is 63020166.

It is a junction number, because it is equal to n+sod(n) for n = 66101997 and 66102015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9261 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (2157568).

Almost surely, 2^66102036 is an apocalyptic number.

66102036 is a gapful number since it is divisible by the number (66) 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 66102036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103563264).

66102036 is an abundant number, since it is smaller than the sum of its proper divisors (141024492).

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

66102036 is a wasteful number, since it uses less digits than its factorization.

66102036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 66102036 is about 8130.3158610229. The cubic root of 66102036 is about 404.3321534008.

It can be divided in two parts, 6610 and 2036, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 66102036 in words is "sixty-six million, one hundred two thousand, thirty-six".