106632909945 has 32 divisors (see below), whose sum is σ = 193978224000. Its totient is φ = 55548303552.

The previous prime is 106632909937. The next prime is 106632909953. The reversal of 106632909945 is 549909236601.

It is an interprime number because it is at equal distance from previous prime (106632909937) and next prime (106632909953).

It is not a de Polignac number, because 106632909945 - 2³ = 106632909937 is a prime.

It is a super-2 number, since 2×106632909945² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106632909891 and 106632909900.

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, 9178770 + ... + 9190379.

It is an arithmetic number, because the mean of its divisors is an integer number (6061819500).

Almost surely, 2^106632909945 is an apocalyptic number.

106632909945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106632909945 is a deficient number, since it is larger than the sum of its proper divisors (87345314055).

106632909945 is a wasteful number, since it uses less digits than its factorization.

106632909945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18369206 (or 18369200 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 106632909945 in words is "one hundred six billion, six hundred thirty-two million, nine hundred nine thousand, nine hundred forty-five".