106809003868638 has 128 divisors (see below), whose sum is σ = 232959341260800. Its totient is φ = 32522504140800.

The previous prime is 106809003868621. The next prime is 106809003868739. The reversal of 106809003868638 is 836868300908601.

It is a happy number.

It is a super-2 number, since 2×106809003868638² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1398552918 + ... + 1398629286.

It is an arithmetic number, because the mean of its divisors is an integer number (1819994853600).

Almost surely, 2^{106809003868638} is an apocalyptic number.

106809003868638 is an abundant number, since it is smaller than the sum of its proper divisors (126150337392162).

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

106809003868638 is a wasteful number, since it uses less digits than its factorization.

106809003868638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77858.

The product of its (nonzero) digits is 71663616, while the sum is 66.

The spelling of 106809003868638 in words is "one hundred six trillion, eight hundred nine billion, three million, eight hundred sixty-eight thousand, six hundred thirty-eight".