100838440 has 64 divisors (see below), whose sum is σ = 242352000. Its totient is φ = 37669632.

The previous prime is 100838411. The next prime is 100838461. The reversal of 100838440 is 44838001.

It is a junction number, because it is equal to n+sod(n) for n = 100838399 and 100838408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38286 + ... + 40834.

It is an arithmetic number, because the mean of its divisors is an integer number (3786750).

Almost surely, 2^100838440 is an apocalyptic number.

100838440 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 100838440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121176000).

100838440 is an abundant number, since it is smaller than the sum of its proper divisors (141513560).

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

100838440 is a wasteful number, since it uses less digits than its factorization.

100838440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 100838440 is about 10041.8344937566. The cubic root of 100838440 is about 465.4525059004.

The spelling of 100838440 in words is "one hundred million, eight hundred thirty-eight thousand, four hundred forty".