10110106000 has 40 divisors (see below), whose sum is σ = 24446241144. Its totient is φ = 4044041600.

The previous prime is 10110105983. The next prime is 10110106003. The reversal of 10110106000 is 60101101.

It can be written as a sum of positive squares in 4 ways, for example, as 1177587856 + 8932518144 = 34316^2 + 94512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10110106003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2525527 + ... + 2529526.

Almost surely, 2^10110106000 is an apocalyptic number.

10110106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110106000 is an abundant number, since it is smaller than the sum of its proper divisors (14336135144).

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

10110106000 is an equidigital number, since it uses as much as digits as its factorization.

10110106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055076 (or 5055060 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10110106000 its reverse (60101101), we get a palindrome (10170207101).

The spelling of 10110106000 in words is "ten billion, one hundred ten million, one hundred six thousand".