10124535641 has 32 divisors (see below), whose sum is σ = 11447654400. Its totient is φ = 8876088000.

The previous prime is 10124535611. The next prime is 10124535653. The reversal of 10124535641 is 14653542101.

It is a cyclic number.

It is not a de Polignac number, because 10124535641 - 2²⁶ = 10057426777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10124535598 and 10124535607.

It is not an unprimeable number, because it can be changed into a prime (10124535611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9279506 + ... + 9280596.

It is an arithmetic number, because the mean of its divisors is an integer number (357739200).

Almost surely, 2^10124535641 is an apocalyptic number.

10124535641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10124535641 is a deficient number, since it is larger than the sum of its proper divisors (1323118759).

10124535641 is a wasteful number, since it uses less digits than its factorization.

10124535641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421.

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 10124535641 in words is "ten billion, one hundred twenty-four million, five hundred thirty-five thousand, six hundred forty-one".