117098400 has 144 divisors (see below), whose sum is σ = 385850304. Its totient is φ = 30842880.

The previous prime is 117098393. The next prime is 117098407. The reversal of 117098400 is 4890711.

117098400 = T₁₆ + T₁₇ + ... + T₈₈₈.

It is an interprime number because it is at equal distance from previous prime (117098393) and next prime (117098407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (117098407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232549 + ... + 233051.

It is an arithmetic number, because the mean of its divisors is an integer number (2679516).

Almost surely, 2^117098400 is an apocalyptic number.

117098400 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 117098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192925152).

117098400 is an abundant number, since it is smaller than the sum of its proper divisors (268751904).

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

117098400 is a wasteful number, since it uses less digits than its factorization.

117098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 117098400 is about 10821.2014120429. The cubic root of 117098400 is about 489.2344006936.

The spelling of 117098400 in words is "one hundred seventeen million, ninety-eight thousand, four hundred".