10106536000 has 112 divisors (see below), whose sum is σ = 27304422912. Its totient is φ = 3675072000.

The previous prime is 10106535997. The next prime is 10106536001. The reversal of 10106536000 is 63560101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10106536001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30577 + ... + 145423.

Almost surely, 2^10106536000 is an apocalyptic number.

10106536000 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 10106536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652211456).

10106536000 is an abundant number, since it is smaller than the sum of its proper divisors (17197886912).

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

10106536000 is a wasteful number, since it uses less digits than its factorization.

10106536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114885 (or 114865 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The spelling of 10106536000 in words is "ten billion, one hundred six million, five hundred thirty-six thousand".