117406100 has 72 divisors (see below), whose sum is σ = 293106240. Its totient is φ = 39985920.

The previous prime is 117406061. The next prime is 117406109. The reversal of 117406100 is 1604711.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117406109) 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, 124832 + ... + 125768.

It is an arithmetic number, because the mean of its divisors is an integer number (4070920).

Almost surely, 2^117406100 is an apocalyptic number.

117406100 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 117406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146553120).

117406100 is an abundant number, since it is smaller than the sum of its proper divisors (175700140).

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

117406100 is a wasteful number, since it uses less digits than its factorization.

117406100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 117406100 is about 10835.4095446365. The cubic root of 117406100 is about 489.6625470539.

The spelling of 117406100 in words is "one hundred seventeen million, four hundred six thousand, one hundred".