106111106056100 has 72 divisors (see below), whose sum is σ = 230442203671680. Its totient is φ = 42411072424320.

The previous prime is 106111106056073. The next prime is 106111106056133. The reversal of 106111106056100 is 1650601111601.

It is a happy number.

It is a super-2 number, since 2×106111106056100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667038371 + ... + 667197429.

Almost surely, 2^{106111106056100} is an apocalyptic number.

106111106056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106111106056100 is an abundant number, since it is smaller than the sum of its proper divisors (124331097615580).

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

106111106056100 is a wasteful number, since it uses less digits than its factorization.

106111106056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164277 (or 164270 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 29.

Adding to 106111106056100 its reverse (1650601111601), we get a palindrome (107761707167701).

The spelling of 106111106056100 in words is "one hundred six trillion, one hundred eleven billion, one hundred six million, fifty-six thousand, one hundred".