106866902241 has 48 divisors (see below), whose sum is σ = 170167765248. Its totient is φ = 64087296000.

The previous prime is 106866902231. The next prime is 106866902267. The reversal of 106866902241 is 142209668601.

It is not a de Polignac number, because 106866902241 - 2¹⁹ = 106866377953 is a prime.

It is a super-2 number, since 2×106866902241² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106866902201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31365160 + ... + 31368566.

It is an arithmetic number, because the mean of its divisors is an integer number (3545161776).

Almost surely, 2^106866902241 is an apocalyptic number.

106866902241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106866902241 is a deficient number, since it is larger than the sum of its proper divisors (63300863007).

106866902241 is a wasteful number, since it uses less digits than its factorization.

106866902241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 106866902241 in words is "one hundred six billion, eight hundred sixty-six million, nine hundred two thousand, two hundred forty-one".