10124735616 has 80 divisors (see below), whose sum is σ = 30131079990. Its totient is φ = 3374908416.

The previous prime is 10124735573. The next prime is 10124735623. The reversal of 10124735616 is 61653742101.

10124735616 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 4 + 7 + 35 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5990760000 + 4133975616 = 77400^2 + 64296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 477901 + ... + 498636.

Almost surely, 2^10124735616 is an apocalyptic number.

10124735616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10124735616 is an abundant number, since it is smaller than the sum of its proper divisors (20006344374).

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

10124735616 is an frugal number, since it uses more digits than its factorization.

10124735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976563 (or 976542 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10124735616 in words is "ten billion, one hundred twenty-four million, seven hundred thirty-five thousand, six hundred sixteen".