10101600 has 216 divisors, whose sum is σ = 37778832. Its totient is φ = 2534400.

The previous prime is 10101593. The next prime is 10101607. The reversal of 10101600 is 610101.

It is an interprime number because it is at equal distance from previous prime (10101593) and next prime (10101607).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165570 + ... + 165630.

It is an arithmetic number, because the mean of its divisors is an integer number (174902).

Almost surely, 2^10101600 is an apocalyptic number.

10101600 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 10101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889416).

10101600 is an abundant number, since it is smaller than the sum of its proper divisors (27677232).

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

10101600 is a wasteful number, since it uses less digits than its factorization.

10101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10101600 is about 3178.3014331558. The cubic root of 10101600 is about 216.1706470408.

Adding to 10101600 its reverse (610101), we get a palindrome (10711701).

It can be divided in two parts, 10101 and 600, that added together give a palindrome (10701).

The spelling of 10101600 in words is "ten million, one hundred one thousand, six hundred".