106180056876 has 72 divisors (see below), whose sum is σ = 259982553600. Its totient is φ = 33725256224.

The previous prime is 106180056833. The next prime is 106180056881. The reversal of 106180056876 is 678650081601.

It is a super-2 number, since 2×106180056876² (a number of 23 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, 1637725 + ... + 1701323.

It is an arithmetic number, because the mean of its divisors is an integer number (3610868800).

Almost surely, 2^106180056876 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 106180056876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991276800).

106180056876 is an abundant number, since it is smaller than the sum of its proper divisors (153802496724).

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

106180056876 is a wasteful number, since it uses less digits than its factorization.

106180056876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63915 (or 63890 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 106180056876 in words is "one hundred six billion, one hundred eighty million, fifty-six thousand, eight hundred seventy-six".