100116000 has 288 divisors, whose sum is σ = 372048768. Its totient is φ = 26438400.

The previous prime is 100115971. The next prime is 100116013. The reversal of 100116000 is 611001.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 971949 + ... + 972051.

It is an arithmetic number, because the mean of its divisors is an integer number (1291836).

Almost surely, 2^100116000 is an apocalyptic number.

100116000 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 100116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186024384).

100116000 is an abundant number, since it is smaller than the sum of its proper divisors (271932768).

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

100116000 is an equidigital number, since it uses as much as digits as its factorization.

100116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

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

The square root of 100116000 is about 10005.7983189749. The cubic root of 100116000 is about 464.3382887773.

Adding to 100116000 its reverse (611001), we get a palindrome (100727001).

The spelling of 100116000 in words is "one hundred million, one hundred sixteen thousand".