87542701101 has 32 divisors (see below), whose sum is σ = 137353553280. Its totient is φ = 54916086528.

The previous prime is 87542701079. The next prime is 87542701109. The reversal of 87542701101 is 10110724578.

87542701101 is a `hidden beast` number, since 8 + 7 + 542 + 7 + 0 + 1 + 101 = 666.

It is not a de Polignac number, because 87542701101 - 2⁹ = 87542700589 is a prime.

It is a super-2 number, since 2×87542701101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87542701109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2218990 + ... + 2258096.

It is an arithmetic number, because the mean of its divisors is an integer number (4292298540).

Almost surely, 2^87542701101 is an apocalyptic number.

It is an amenable number.

87542701101 is a deficient number, since it is larger than the sum of its proper divisors (49810852179).

87542701101 is a wasteful number, since it uses less digits than its factorization.

87542701101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44010 (or 44004 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 87542701101 in words is "eighty-seven billion, five hundred forty-two million, seven hundred one thousand, one hundred one".