100757340 has 72 divisors (see below), whose sum is σ = 308035728. Its totient is φ = 26657280.

The previous prime is 100757333. The next prime is 100757357. The reversal of 100757340 is 43757001.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21444 + ... + 25716.

It is an arithmetic number, because the mean of its divisors is an integer number (4278274).

Almost surely, 2^100757340 is an apocalyptic number.

100757340 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 100757340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154017864).

100757340 is an abundant number, since it is smaller than the sum of its proper divisors (207278388).

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

100757340 is a wasteful number, since it uses less digits than its factorization.

100757340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 100757340 is about 10037.7955747266. The cubic root of 100757340 is about 465.3276913207.

The spelling of 100757340 in words is "one hundred million, seven hundred fifty-seven thousand, three hundred forty".