10100034160 has 160 divisors (see below), whose sum is σ = 25506938880. Its totient is φ = 3707827200.

The previous prime is 10100034157. The next prime is 10100034179. The reversal of 10100034160 is 6143000101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10191265 + ... + 10192255.

It is an arithmetic number, because the mean of its divisors is an integer number (159418368).

Almost surely, 2^10100034160 is an apocalyptic number.

10100034160 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 10100034160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753469440).

10100034160 is an abundant number, since it is smaller than the sum of its proper divisors (15406904720).

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

10100034160 is a wasteful number, since it uses less digits than its factorization.

10100034160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10100034160 its reverse (6143000101), we get a palindrome (16243034261).

The spelling of 10100034160 in words is "ten billion, one hundred million, thirty-four thousand, one hundred sixty".