106142812776 has 320 divisors, whose sum is σ = 399171991680. Its totient is φ = 25448670720.

The previous prime is 106142812717. The next prime is 106142812777. The reversal of 106142812776 is 677218241601.

106142812776 is a `hidden beast` number, since 1 + 0 + 614 + 2 + 8 + 1 + 27 + 7 + 6 = 666.

It is a super-2 number, since 2×106142812776² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106142812777) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 566830 + ... + 730466.

It is an arithmetic number, because the mean of its divisors is an integer number (1247412474).

Almost surely, 2^106142812776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106142812776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199585995840).

106142812776 is an abundant number, since it is smaller than the sum of its proper divisors (293029178904).

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

106142812776 is a wasteful number, since it uses less digits than its factorization.

106142812776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163686 (or 163673 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 106142812776 in words is "one hundred six billion, one hundred forty-two million, eight hundred twelve thousand, seven hundred seventy-six".