101345153445 has 24 divisors (see below), whose sum is σ = 177219498456. Its totient is φ = 53572420608.

The previous prime is 101345153411. The next prime is 101345153449. The reversal of 101345153445 is 544351543101.

101345153445 is a `hidden beast` number, since 1 + 0 + 1 + 34 + 51 + 534 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1123523361 + 100221630084 = 33519^2 + 316578^2 .

It is not a de Polignac number, because 101345153445 - 2⁹ = 101345152933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101345153449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9960024 + ... + 9970193.

It is an arithmetic number, because the mean of its divisors is an integer number (7384145769).

Almost surely, 2^101345153445 is an apocalyptic number.

101345153445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101345153445 is a deficient number, since it is larger than the sum of its proper divisors (75874345011).

101345153445 is a wasteful number, since it uses less digits than its factorization.

101345153445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19930341 (or 19930338 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 101345153445 its reverse (544351543101), we get a palindrome (645696696546).

The spelling of 101345153445 in words is "one hundred one billion, three hundred forty-five million, one hundred fifty-three thousand, four hundred forty-five".