10100040145 has 16 divisors (see below), whose sum is σ = 13060211472. Its totient is φ = 7454004480.

The previous prime is 10100040143. The next prime is 10100040151. The reversal of 10100040145 is 54104000101.

It can be written as a sum of positive squares in 8 ways, for example, as 1776032449 + 8324007696 = 42143^2 + 91236^2 .

It is not a de Polignac number, because 10100040145 - 2¹ = 10100040143 is a prime.

It is a super-2 number, since 2×10100040145² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100040143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64155 + ... + 155935.

It is an arithmetic number, because the mean of its divisors is an integer number (816263217).

Almost surely, 2^10100040145 is an apocalyptic number.

It is an amenable number.

10100040145 is a deficient number, since it is larger than the sum of its proper divisors (2960171327).

10100040145 is a wasteful number, since it uses less digits than its factorization.

10100040145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93492.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10100040145 its reverse (54104000101), we get a palindrome (64204040246).

The spelling of 10100040145 in words is "ten billion, one hundred million, forty thousand, one hundred forty-five".