10105152645 has 48 divisors (see below), whose sum is σ = 18855877248. Its totient is φ = 4607729280.

The previous prime is 10105152643. The next prime is 10105152647. The reversal of 10105152645 is 54625150101.

It is an interprime number because it is at equal distance from previous prime (10105152643) and next prime (10105152647).

It is not a de Polignac number, because 10105152645 - 2¹ = 10105152643 is a prime.

It is a super-2 number, since 2×10105152645² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105152643) 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 47 ways as a sum of consecutive naturals, for example, 274480 + ... + 309110.

It is an arithmetic number, because the mean of its divisors is an integer number (392830776).

Almost surely, 2^10105152645 is an apocalyptic number.

10105152645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10105152645 is a deficient number, since it is larger than the sum of its proper divisors (8750724603).

10105152645 is a wasteful number, since it uses less digits than its factorization.

10105152645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35050 (or 35043 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

It can be divided in two parts, 1010 and 5152645, that added together give a triangular number (5153655 = T₃₂₁₀).

The spelling of 10105152645 in words is "ten billion, one hundred five million, one hundred fifty-two thousand, six hundred forty-five".