100801440 has 72 divisors (see below), whose sum is σ = 343989828. Its totient is φ = 26880000.

The previous prime is 100801423. The next prime is 100801453. The reversal of 100801440 is 44108001.

It can be written as a sum of positive squares in 2 ways, for example, as 98962704 + 1838736 = 9948^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33561 + ... + 36440.

Almost surely, 2^100801440 is an apocalyptic number.

100801440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100801440 is an abundant number, since it is smaller than the sum of its proper divisors (243188388).

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

100801440 is a wasteful number, since it uses less digits than its factorization.

100801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70022 (or 70011 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 100801440 is about 10039.9920318693. The cubic root of 100801440 is about 465.3955704384.

Adding to 100801440 its reverse (44108001), we get a palindrome (144909441).

The spelling of 100801440 in words is "one hundred million, eight hundred one thousand, four hundred forty".