100521287440 has 160 divisors (see below), whose sum is σ = 270839808000. Its totient is φ = 33983000064.

The previous prime is 100521287407. The next prime is 100521287491. The reversal of 100521287440 is 44782125001.

It is a junction number, because it is equal to n+sod(n) for n = 100521287396 and 100521287405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63660571 + ... + 63662149.

It is an arithmetic number, because the mean of its divisors is an integer number (1692748800).

Almost surely, 2^100521287440 is an apocalyptic number.

100521287440 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 100521287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135419904000).

100521287440 is an abundant number, since it is smaller than the sum of its proper divisors (170318520560).

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

100521287440 is a wasteful number, since it uses less digits than its factorization.

100521287440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 100521287440 in words is "one hundred billion, five hundred twenty-one million, two hundred eighty-seven thousand, four hundred forty".