101384761 has 3 divisors (see below), whose sum is σ = 101394831. Its totient is φ = 101374692.

The previous prime is 101384743. The next prime is 101384771. The reversal of 101384761 is 167483101.

The square root of 101384761 is 10069.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 25694761 + 75690000 = 5069^2 + 8700^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101384761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101384711) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5035 + ... + 15103.

It is an arithmetic number, because the mean of its divisors is an integer number (33798277).

Almost surely, 2^101384761 is an apocalyptic number.

101384761 is the 10069-th square number.

101384761 is the 5035-th centered octagonal number.

It is an amenable number.

101384761 is a deficient number, since it is larger than the sum of its proper divisors (10070).

101384761 is an frugal number, since it uses more digits than its factorization.

101384761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20138 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The cubic root of 101384761 is about 466.2915663240.

The spelling of 101384761 in words is "one hundred one million, three hundred eighty-four thousand, seven hundred sixty-one".