10534124601 has 288 divisors, whose sum is σ = 22209101824. Its totient is φ = 4849891200.

The previous prime is 10534124599. The next prime is 10534124611. The reversal of 10534124601 is 10642143501.

It is a happy number.

10534124601 is a `hidden beast` number, since 1 + 0 + 5 + 34 + 1 + 24 + 601 = 666.

It is not a de Polignac number, because 10534124601 - 2¹ = 10534124599 is a prime.

It is a super-2 number, since 2×10534124601² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10534124611) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 82945800 + ... + 82945926.

Almost surely, 2^10534124601 is an apocalyptic number.

10534124601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10534124601 is an abundant number, since it is smaller than the sum of its proper divisors (11674977223).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10534124601 is a wasteful number, since it uses less digits than its factorization.

10534124601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10534124601 in words is "ten billion, five hundred thirty-four million, one hundred twenty-four thousand, six hundred one".