118400100 has 144 divisors (see below), whose sum is σ = 421723008. Its totient is φ = 24975360.

The previous prime is 118400071. The next prime is 118400119. The reversal of 118400100 is 1004811.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 118400100.

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, 25132 + ... + 29468.

It is an arithmetic number, because the mean of its divisors is an integer number (2928632).

Almost surely, 2^118400100 is an apocalyptic number.

118400100 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 118400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210861504).

118400100 is an abundant number, since it is smaller than the sum of its proper divisors (303322908).

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

118400100 is a wasteful number, since it uses less digits than its factorization.

118400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 118400100 is about 10881.1810020788. The cubic root of 118400100 is about 491.0405487202.

Adding to 118400100 its reverse (1004811), we get a palindrome (119404911).

The spelling of 118400100 in words is "one hundred eighteen million, four hundred thousand, one hundred".