100364511440 has 80 divisors (see below), whose sum is σ = 234092219520. Its totient is φ = 40017922560.

The previous prime is 100364511427. The next prime is 100364511473. The reversal of 100364511440 is 44115463001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 43427885 + ... + 43430195.

It is an arithmetic number, because the mean of its divisors is an integer number (2926152744).

Almost surely, 2^100364511440 is an apocalyptic number.

100364511440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100364511440 is an abundant number, since it is smaller than the sum of its proper divisors (133727708080).

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

100364511440 is a wasteful number, since it uses less digits than its factorization.

100364511440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 100364511440 its reverse (44115463001), we get a palindrome (144479974441).

The spelling of 100364511440 in words is "one hundred billion, three hundred sixty-four million, five hundred eleven thousand, four hundred forty".