106010556672 has 144 divisors (see below), whose sum is σ = 288964368000. Its totient is φ = 34492416000.

The previous prime is 106010556667. The next prime is 106010556703. The reversal of 106010556672 is 276655010601.

It is a super-2 number, since 2×106010556672² (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 106010556672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5497704 + ... + 5516952.

It is an arithmetic number, because the mean of its divisors is an integer number (2006697000).

Almost surely, 2^106010556672 is an apocalyptic number.

106010556672 is a gapful number since it is divisible by the number (12) 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 106010556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144482184000).

106010556672 is an abundant number, since it is smaller than the sum of its proper divisors (182953811328).

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

106010556672 is a wasteful number, since it uses less digits than its factorization.

106010556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19440 (or 19426 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 106010556672 in words is "one hundred six billion, ten million, five hundred fifty-six thousand, six hundred seventy-two".