10118160 has 240 divisors, whose sum is σ = 38997504. Its totient is φ = 2331648.

The previous prime is 10118159. The next prime is 10118189. The reversal of 10118160 is 6181101.

10118160 = T₁₆₈ + T₁₆₉ + ... + T₄₀₂.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215257 + ... + 215303.

Almost surely, 2^10118160 is an apocalyptic number.

10118160 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 10118160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

10118160 is an abundant number, since it is smaller than the sum of its proper divisors (28879344).

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

10118160 is a wasteful number, since it uses less digits than its factorization.

10118160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 10118160 is about 3180.9055314486. The cubic root of 10118160 is about 216.2887085864.

Adding to 10118160 its reverse (6181101), we get a palindrome (16299261).

The spelling of 10118160 in words is "ten million, one hundred eighteen thousand, one hundred sixty".