106177776260 has 72 divisors (see below), whose sum is σ = 228836344128. Its totient is φ = 41382316800.

The previous prime is 106177776259. The next prime is 106177776269. The reversal of 106177776260 is 62677771601.

It is a happy number.

It is a super-2 number, since 2×106177776260² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106177776199 and 106177776208.

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 23 ways as a sum of consecutive naturals, for example, 35736575 + ... + 35739545.

Almost surely, 2^106177776260 is an apocalyptic number.

106177776260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106177776260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114418172064).

106177776260 is an abundant number, since it is smaller than the sum of its proper divisors (122658567868).

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

106177776260 is a wasteful number, since it uses less digits than its factorization.

106177776260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 50.

It can be divided in two parts, 10617 and 7776260, that added together give a palindrome (7786877).

The spelling of 106177776260 in words is "one hundred six billion, one hundred seventy-seven million, seven hundred seventy-six thousand, two hundred sixty".