102115761 has 8 divisors (see below), whose sum is σ = 148532064. Its totient is φ = 61888320.

The previous prime is 102115733. The next prime is 102115763. The reversal of 102115761 is 167511201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102115761 - 2¹⁴ = 102099377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102115763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1547176 + ... + 1547241.

It is an arithmetic number, because the mean of its divisors is an integer number (18566508).

Almost surely, 2^102115761 is an apocalyptic number.

102115761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102115761 is a deficient number, since it is larger than the sum of its proper divisors (46416303).

102115761 is a wasteful number, since it uses less digits than its factorization.

102115761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094431.

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 102115761 is about 10105.2343367188. The cubic root of 102115761 is about 467.4095620382.

Adding to 102115761 its reverse (167511201), we get a palindrome (269626962).

The spelling of 102115761 in words is "one hundred two million, one hundred fifteen thousand, seven hundred sixty-one".