106727765816 has 32 divisors (see below), whose sum is σ = 233568368640. Its totient is φ = 44767268448.

The previous prime is 106727765813. The next prime is 106727765887. The reversal of 106727765816 is 618567727601.

It is a super-2 number, since 2×106727765816² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106727765813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20272400 + ... + 20277663.

It is an arithmetic number, because the mean of its divisors is an integer number (7299011520).

Almost surely, 2^106727765816 is an apocalyptic number.

It is an amenable number.

106727765816 is an abundant number, since it is smaller than the sum of its proper divisors (126840602824).

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

106727765816 is a wasteful number, since it uses less digits than its factorization.

106727765816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40550123 (or 40550119 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 56.

The spelling of 106727765816 in words is "one hundred six billion, seven hundred twenty-seven million, seven hundred sixty-five thousand, eight hundred sixteen".