10145406015 has 24 divisors (see below), whose sum is σ = 17917174080. Its totient is φ = 5308789824.

The previous prime is 10145405951. The next prime is 10145406043. The reversal of 10145406015 is 51060454101.

10145406015 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 54 + 0 + 601 + 5 = 666.

It is not a de Polignac number, because 10145406015 - 2⁶ = 10145405951 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10145406015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2124535 + ... + 2129304.

It is an arithmetic number, because the mean of its divisors is an integer number (746548920).

Almost surely, 2^10145406015 is an apocalyptic number.

10145406015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10145406015 is a deficient number, since it is larger than the sum of its proper divisors (7771768065).

10145406015 is a wasteful number, since it uses less digits than its factorization.

10145406015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253903 (or 4253900 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10145406015 in words is "ten billion, one hundred forty-five million, four hundred six thousand, fifteen".