106177776258 has 16 divisors (see below), whose sum is σ = 214741571040. Its totient is φ = 34994922336.

The previous prime is 106177776233. The next prime is 106177776259. The reversal of 106177776258 is 852677771601.

It is a super-2 number, since 2×106177776258² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106177776198 and 106177776207.

It is not an unprimeable number, because it can be changed into a prime (106177776259) 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, 99416860 + ... + 99417927.

It is an arithmetic number, because the mean of its divisors is an integer number (13421348190).

Almost surely, 2^106177776258 is an apocalyptic number.

106177776258 is an abundant number, since it is smaller than the sum of its proper divisors (108563794782).

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

106177776258 is a wasteful number, since it uses less digits than its factorization.

106177776258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198834881.

The product of its (nonzero) digits is 6914880, while the sum is 57.

The spelling of 106177776258 in words is "one hundred six billion, one hundred seventy-seven million, seven hundred seventy-six thousand, two hundred fifty-eight".