118052100 has 144 divisors (see below), whose sum is σ = 396224640. Its totient is φ = 30096000.

The previous prime is 118052059. The next prime is 118052101. The reversal of 118052100 is 1250811.

118052100 = 33³ + 34³ + ... + 147³.

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

It is not an unprimeable number, because it can be changed into a prime (118052101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61150 + ... + 63050.

It is an arithmetic number, because the mean of its divisors is an integer number (2751560).

Almost surely, 2^118052100 is an apocalyptic number.

118052100 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 118052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198112320).

118052100 is an abundant number, since it is smaller than the sum of its proper divisors (278172540).

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

118052100 is a wasteful number, since it uses less digits than its factorization.

118052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 118052100 is about 10865.1783234331. The cubic root of 118052100 is about 490.5589899968.

The spelling of 118052100 in words is "one hundred eighteen million, fifty-two thousand, one hundred".