100314720 has 192 divisors, whose sum is σ = 383201280. Its totient is φ = 24307200.

The previous prime is 100314701. The next prime is 100314749. The reversal of 100314720 is 27413001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100314693 and 100314702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46465 + ... + 48575.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^100314720 is an apocalyptic number.

100314720 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 100314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

100314720 is an abundant number, since it is smaller than the sum of its proper divisors (282886560).

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

100314720 is a wasteful number, since it uses less digits than its factorization.

100314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100314720 is about 10015.7236383598. The cubic root of 100314720 is about 464.6453070393.

Adding to 100314720 its reverse (27413001), we get a palindrome (127727721).

The spelling of 100314720 in words is "one hundred million, three hundred fourteen thousand, seven hundred twenty".