101561975748 has 54 divisors (see below), whose sum is σ = 268373464814. Its totient is φ = 32382073152.

The previous prime is 101561975743. The next prime is 101561975761. The reversal of 101561975748 is 847579165101.

101561975748 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 61 + 9 + 7 + 574 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100830381444 + 731594304 = 317538^2 + 27048^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101561975694 and 101561975703.

It is not an unprimeable number, because it can be changed into a prime (101561975743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2647465 + ... + 2685552.

Almost surely, 2^101561975748 is an apocalyptic number.

101561975748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101561975748 is an abundant number, since it is smaller than the sum of its proper divisors (166811489066).

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

101561975748 is a wasteful number, since it uses less digits than its factorization.

101561975748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333073 (or 5333045 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 101561975748 in words is "one hundred one billion, five hundred sixty-one million, nine hundred seventy-five thousand, seven hundred forty-eight".