106018464836100 has 144 divisors (see below), whose sum is σ = 323626847667200. Its totient is φ = 26722601032320.

The previous prime is 106018464836099. The next prime is 106018464836111. The reversal of 106018464836100 is 1638464810601.

It is a happy number.

It is a super-2 number, since 2×106018464836100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106018464836100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18681904 + ... + 23686503.

Almost surely, 2^{106018464836100} is an apocalyptic number.

106018464836100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106018464836100 is an abundant number, since it is smaller than the sum of its proper divisors (217608382831100).

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

106018464836100 is a wasteful number, since it uses less digits than its factorization.

106018464836100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42368882 (or 42368875 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 106018464836100 in words is "one hundred six trillion, eighteen billion, four hundred sixty-four million, eight hundred thirty-six thousand, one hundred".