10106055560 has 128 divisors (see below), whose sum is σ = 24531413760. Its totient is φ = 3737395200.

The previous prime is 10106055551. The next prime is 10106055571. The reversal of 10106055560 is 6555060101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4261175 + ... + 4263545.

It is an arithmetic number, because the mean of its divisors is an integer number (191651670).

Almost surely, 2^10106055560 is an apocalyptic number.

10106055560 is a gapful number since it is divisible by the number (10) 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 10106055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265706880).

10106055560 is an abundant number, since it is smaller than the sum of its proper divisors (14425358200).

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

10106055560 is a wasteful number, since it uses less digits than its factorization.

10106055560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 10106055560 in words is "ten billion, one hundred six million, fifty-five thousand, five hundred sixty".