106077628456 has 32 divisors (see below), whose sum is σ = 204417750240. Its totient is φ = 51577098048.

The previous prime is 106077628441. The next prime is 106077628457. The reversal of 106077628456 is 654826770601.

106077628456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106077628456² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106077628457) 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, 601131 + ... + 757306.

It is an arithmetic number, because the mean of its divisors is an integer number (6388054695).

Almost surely, 2^106077628456 is an apocalyptic number.

It is an amenable number.

106077628456 is a deficient number, since it is larger than the sum of its proper divisors (98340121784).

106077628456 is a wasteful number, since it uses less digits than its factorization.

106077628456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358713 (or 1358709 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 106077628456 in words is "one hundred six billion, seventy-seven million, six hundred twenty-eight thousand, four hundred fifty-six".