106635566202 has 64 divisors (see below), whose sum is σ = 237171110400. Its totient is φ = 31689817280.

The previous prime is 106635566197. The next prime is 106635566249. The reversal of 106635566202 is 202665536601.

106635566202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106635566202² (a number of 23 digits) contains 22 as substring.

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, 1598908 + ... + 1664264.

It is an arithmetic number, because the mean of its divisors is an integer number (3705798600).

Almost surely, 2^106635566202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106635566202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118585555200).

106635566202 is an abundant number, since it is smaller than the sum of its proper divisors (130535544198).

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

106635566202 is a wasteful number, since it uses less digits than its factorization.

106635566202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65851.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 106635566202 in words is "one hundred six billion, six hundred thirty-five million, five hundred sixty-six thousand, two hundred two".