100034340 has 192 divisors, whose sum is σ = 340623360. Its totient is φ = 21450240.

The previous prime is 100034317. The next prime is 100034357. The reversal of 100034340 is 43430001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523645 + ... + 523835.

It is an arithmetic number, because the mean of its divisors is an integer number (1774080).

Almost surely, 2^100034340 is an apocalyptic number.

100034340 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 100034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170311680).

100034340 is an abundant number, since it is smaller than the sum of its proper divisors (240589020).

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

100034340 is a wasteful number, since it uses less digits than its factorization.

100034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 100034340 is about 10001.7168526209. The cubic root of 100034340 is about 464.2120080009.

Adding to 100034340 its reverse (43430001), we get a palindrome (143464341).

The spelling of 100034340 in words is "one hundred million, thirty-four thousand, three hundred forty".