106641636 has 48 divisors (see below), whose sum is σ = 252551040. Its totient is φ = 35020800.

The previous prime is 106641631. The next prime is 106641683. The reversal of 106641636 is 636146601.

It is a super-2 number, since 2×106641636² = 22744877057512992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106641597 and 106641606.

It is not an unprimeable number, because it can be changed into a prime (106641631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414820 + ... + 415076.

It is an arithmetic number, because the mean of its divisors is an integer number (5261480).

Almost surely, 2^106641636 is an apocalyptic number.

It is an amenable number.

106641636 is an abundant number, since it is smaller than the sum of its proper divisors (145909404).

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

106641636 is a wasteful number, since it uses less digits than its factorization.

106641636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 106641636 is about 10326.7437268483. The cubic root of 106641636 is about 474.2153412755.

The spelling of 106641636 in words is "one hundred six million, six hundred forty-one thousand, six hundred thirty-six".