102115950 has 48 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 27101920.

The previous prime is 102115921. The next prime is 102115969. The reversal of 102115950 is 59511201.

It is a self number, because there is not a number n which added to its sum of digits gives 102115950.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32551 + ... + 35549.

It is an arithmetic number, because the mean of its divisors is an integer number (5301000).

Almost surely, 2^102115950 is an apocalyptic number.

102115950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102115950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

102115950 is an abundant number, since it is smaller than the sum of its proper divisors (152332050).

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

102115950 is a wasteful number, since it uses less digits than its factorization.

102115950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 102115950 is about 10105.2436883036. The cubic root of 102115950 is about 467.4098504049.

It can be divided in two parts, 10211 and 5950, that added together give a palindrome (16161).

The spelling of 102115950 in words is "one hundred two million, one hundred fifteen thousand, nine hundred fifty".