10100160 has 224 divisors, whose sum is σ = 40965120. Its totient is φ = 2294784.

The previous prime is 10100147. The next prime is 10100161. The reversal of 10100160 is 6100101.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100161) 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, 60397 + ... + 60563.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^10100160 is an apocalyptic number.

10100160 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 10100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

10100160 is an abundant number, since it is smaller than the sum of its proper divisors (30864960).

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

10100160 is a wasteful number, since it uses less digits than its factorization.

10100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

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

The square root of 10100160 is about 3178.0748889855. The cubic root of 10100160 is about 216.1603747234.

Adding to 10100160 its reverse (6100101), we get a palindrome (16200261).

The spelling of 10100160 in words is "ten million, one hundred thousand, one hundred sixty".