102649950 has 96 divisors (see below), whose sum is σ = 304668000. Its totient is φ = 25263360.

The previous prime is 102649949. The next prime is 102649979. The reversal of 102649950 is 59946201.

102649950 is a `hidden beast` number, since 1 + 0 + 2 + 649 + 9 + 5 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 14626 + ... + 20474.

It is an arithmetic number, because the mean of its divisors is an integer number (3173625).

Almost surely, 2^102649950 is an apocalyptic number.

102649950 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 102649950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334000).

102649950 is an abundant number, since it is smaller than the sum of its proper divisors (202018050).

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

102649950 is a wasteful number, since it uses less digits than its factorization.

102649950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 102649950 is about 10131.6311618614. The cubic root of 102649950 is about 468.2231841473.

The spelling of 102649950 in words is "one hundred two million, six hundred forty-nine thousand, nine hundred fifty".