106111277046 has 96 divisors (see below), whose sum is σ = 241080997248. Its totient is φ = 34977303360.

The previous prime is 106111277023. The next prime is 106111277219. The reversal of 106111277046 is 640772111601.

106111277046 is a `hidden beast` number, since 10 + 611 + 1 + 27 + 7 + 0 + 4 + 6 = 666.

It is a super-2 number, since 2×106111277046² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106111277046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35931906 + ... + 35934858.

It is an arithmetic number, because the mean of its divisors is an integer number (2511260388).

Almost surely, 2^106111277046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106111277046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120540498624).

106111277046 is an abundant number, since it is smaller than the sum of its proper divisors (134969720202).

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

106111277046 is a wasteful number, since it uses less digits than its factorization.

106111277046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 106111277046 its reverse (640772111601), we get a palindrome (746883388647).

The spelling of 106111277046 in words is "one hundred six billion, one hundred eleven million, two hundred seventy-seven thousand, forty-six".