10145344354101 has 24 divisors (see below), whose sum is σ = 16144886440800. Its totient is φ = 6087815388000.

The previous prime is 10145344354091. The next prime is 10145344354133.

10145344354101 is a `hidden beast` number, since 1 + 0 + 1 + 45 + 34 + 43 + 541 + 0 + 1 = 666.

10145344354101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10145344354101 - 2⁶ = 10145344354037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145344354801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507307951 + ... + 507327948.

It is an arithmetic number, because the mean of its divisors is an integer number (672703601700).

Almost surely, 2^{10145344354101} is an apocalyptic number.

10145344354101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10145344354101 is a deficient number, since it is larger than the sum of its proper divisors (5999542086699).

10145344354101 is a wasteful number, since it uses less digits than its factorization.

10145344354101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014636017 (or 1014636014 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 1014534 and 4354101, that added together give a palindrome (5368635).

The spelling of 10145344354101 in words is "ten trillion, one hundred forty-five billion, three hundred forty-four million, three hundred fifty-four thousand, one hundred one".