100847340 has 216 divisors, whose sum is σ = 351331344. Its totient is φ = 23212800.

The previous prime is 100847323. The next prime is 100847353. The reversal of 100847340 is 43748001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1902754 + ... + 1902806.

It is an arithmetic number, because the mean of its divisors is an integer number (1626534).

Almost surely, 2^100847340 is an apocalyptic number.

100847340 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 100847340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175665672).

100847340 is an abundant number, since it is smaller than the sum of its proper divisors (250484004).

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

100847340 is a wasteful number, since it uses less digits than its factorization.

100847340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 100847340 is about 10042.2776300997. The cubic root of 100847340 is about 465.4661991092.

It can be divided in two parts, 10084 and 7340, that added together give a square (17424 = 132²).

The spelling of 100847340 in words is "one hundred million, eight hundred forty-seven thousand, three hundred forty".