10006101600 has 288 divisors, whose sum is σ = 36067441536. Its totient is φ = 2389094400.

The previous prime is 10006101593. The next prime is 10006101607. The reversal of 10006101600 is 610160001.

It is an interprime number because it is at equal distance from previous prime (10006101593) and next prime (10006101607).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10006101600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006101607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1765972 + ... + 1771628.

It is an arithmetic number, because the mean of its divisors is an integer number (125234172).

Almost surely, 2^10006101600 is an apocalyptic number.

10006101600 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 10006101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18033720768).

10006101600 is an abundant number, since it is smaller than the sum of its proper divisors (26061339936).

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

10006101600 is a wasteful number, since it uses less digits than its factorization.

10006101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5745 counting only the distinct ones).

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

Adding to 10006101600 its reverse (610160001), we get a palindrome (10616261601).

The spelling of 10006101600 in words is "ten billion, six million, one hundred one thousand, six hundred".