101608000461 has 36 divisors (see below), whose sum is σ = 162405488700. Its totient is φ = 61167216000.

The previous prime is 101608000453. The next prime is 101608000523. The reversal of 101608000461 is 164000806101.

101608000461 is a `hidden beast` number, since 10 + 1 + 608 + 0 + 0 + 0 + 46 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48521075625 + 53086924836 = 220275^2 + 230406^2 .

It is not a de Polignac number, because 101608000461 - 2³ = 101608000453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101608000411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150840 + ... + 475361.

It is an arithmetic number, because the mean of its divisors is an integer number (4511263575).

Almost surely, 2^101608000461 is an apocalyptic number.

101608000461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101608000461 is a deficient number, since it is larger than the sum of its proper divisors (60797488239).

101608000461 is a wasteful number, since it uses less digits than its factorization.

101608000461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626378 (or 626364 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 101608000461 its reverse (164000806101), we get a palindrome (265608806562).

The spelling of 101608000461 in words is "one hundred one billion, six hundred eight million, four hundred sixty-one", and thus it is an aban number.