10061106000 has 160 divisors (see below), whose sum is σ = 35386056576. Its totient is φ = 2439040000.

The previous prime is 10061105983. The next prime is 10061106007. The reversal of 10061106000 is 60116001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061106007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10221 + ... + 142220.

Almost surely, 2^10061106000 is an apocalyptic number.

10061106000 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 10061106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693028288).

10061106000 is an abundant number, since it is smaller than the sum of its proper divisors (25324950576).

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

10061106000 is a wasteful number, since it uses less digits than its factorization.

10061106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152478 (or 152462 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 10061106000 in words is "ten billion, sixty-one million, one hundred six thousand".