106177776263 has 16 divisors (see below), whose sum is σ = 116252788512. Its totient is φ = 96376176000.

The previous prime is 106177776259. The next prime is 106177776269. The reversal of 106177776263 is 362677771601.

It is a happy number.

It is not a de Polignac number, because 106177776263 - 2² = 106177776259 is a prime.

It is a super-2 number, since 2×106177776263² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106177776269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3100253 + ... + 3134313.

It is an arithmetic number, because the mean of its divisors is an integer number (7265799282).

Almost surely, 2^106177776263 is an apocalyptic number.

106177776263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106177776263 is a deficient number, since it is larger than the sum of its proper divisors (10075012249).

106177776263 is a wasteful number, since it uses less digits than its factorization.

106177776263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38066.

The product of its (nonzero) digits is 3111696, while the sum is 53.

The spelling of 106177776263 in words is "one hundred six billion, one hundred seventy-seven million, seven hundred seventy-six thousand, two hundred sixty-three".