10106605557072 has 100 divisors (see below), whose sum is σ = 29270660828640. Its totient is φ = 3366655866432.

The previous prime is 10106605557067. The next prime is 10106605557157. The reversal of 10106605557072 is 27075550660101.

10106605557072 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 6 + 0 + 5 + 5 + 570 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 586372 + ... + 4533987.

Almost surely, 2^{10106605557072} is an apocalyptic number.

10106605557072 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 10106605557072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635330414320).

10106605557072 is an abundant number, since it is smaller than the sum of its proper divisors (19164055271568).

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

10106605557072 is a wasteful number, since it uses less digits than its factorization.

10106605557072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121902 (or 5121887 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 10106605557072 in words is "ten trillion, one hundred six billion, six hundred five million, five hundred fifty-seven thousand, seventy-two".