101864877543 has 48 divisors (see below), whose sum is σ = 173343905280. Its totient is φ = 56828347200.

The previous prime is 101864877539. The next prime is 101864877559. The reversal of 101864877543 is 345778468101.

101864877543 is a `hidden beast` number, since 1 + 0 + 18 + 6 + 4 + 87 + 7 + 543 = 666.

It is not a de Polignac number, because 101864877543 - 2² = 101864877539 is a prime.

It is a super-3 number, since 3×101864877543³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101864877543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101864877503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351798 + ... + 572268.

It is an arithmetic number, because the mean of its divisors is an integer number (3611331360).

Almost surely, 2^101864877543 is an apocalyptic number.

101864877543 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101864877543 is a deficient number, since it is larger than the sum of its proper divisors (71479027737).

101864877543 is a wasteful number, since it uses less digits than its factorization.

101864877543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220860 (or 220857 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 101864877543 in words is "one hundred one billion, eight hundred sixty-four million, eight hundred seventy-seven thousand, five hundred forty-three".