100053413440000 has 100 divisors (see below), whose sum is σ = 249809298806034. Its totient is φ = 40021365248000.

The previous prime is 100053413439977. The next prime is 100053413440007. The reversal of 100053413440000 is 44314350001.

It can be written as a sum of positive squares in 5 ways, for example, as 11560108800256 + 88493304639744 = 3400016^2 + 9407088^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (100053413440007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 156013459 + ... + 156653458.

Almost surely, 2^{100053413440000} is an apocalyptic number.

100053413440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100053413440000 is an abundant number, since it is smaller than the sum of its proper divisors (149755885366034).

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

100053413440000 is an frugal number, since it uses more digits than its factorization.

100053413440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312666955 (or 312666924 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 100053413440000 its reverse (44314350001), we get a palindrome (100097727790001).

The spelling of 100053413440000 in words is "one hundred trillion, fifty-three billion, four hundred thirteen million, four hundred forty thousand".