100105001000053 has 64 divisors (see below), whose sum is σ = 123298009325568. Its totient is φ = 79477504404480.

The previous prime is 100105001000029. The next prime is 100105001000077. The reversal of 100105001000053 is 350000100501001.

It is an interprime number because it is at equal distance from previous prime (100105001000029) and next prime (100105001000077).

It is not a de Polignac number, because 100105001000053 - 2³⁷ = 99967562046581 is a prime.

It is a super-2 number, since 2×100105001000053² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105001040053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125752026 + ... + 126545572.

It is an arithmetic number, because the mean of its divisors is an integer number (1926531395712).

Almost surely, 2^{100105001000053} is an apocalyptic number.

It is an amenable number.

100105001000053 is a deficient number, since it is larger than the sum of its proper divisors (23193008325515).

100105001000053 is a wasteful number, since it uses less digits than its factorization.

100105001000053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793922.

The product of its (nonzero) digits is 75, while the sum is 16.

Adding to 100105001000053 its reverse (350000100501001), we get a palindrome (450105101501054).

The spelling of 100105001000053 in words is "one hundred trillion, one hundred five billion, one million, fifty-three", and thus it is an aban number.