100345440 has 144 divisors (see below), whose sum is σ = 342549648. Its totient is φ = 24680448.

The previous prime is 100345387. The next prime is 100345447. The reversal of 100345440 is 44543001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100345447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80502 + ... + 81738.

It is an arithmetic number, because the mean of its divisors is an integer number (2378817).

Almost surely, 2^100345440 is an apocalyptic number.

100345440 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 100345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171274824).

100345440 is an abundant number, since it is smaller than the sum of its proper divisors (242204208).

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

100345440 is a wasteful number, since it uses less digits than its factorization.

100345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 100345440 is about 10017.2571096084. The cubic root of 100345440 is about 464.6927326050.

Adding to 100345440 its reverse (44543001), we get a palindrome (144888441).

The spelling of 100345440 in words is "one hundred million, three hundred forty-five thousand, four hundred forty".