102505950 has 108 divisors (see below), whose sum is σ = 291117528. Its totient is φ = 25855200.

The previous prime is 102505927. The next prime is 102505987. The reversal of 102505950 is 59505201.

102505950 is a `hidden beast` number, since 102 + 505 + 9 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 162135 + ... + 162765.

Almost surely, 2^102505950 is an apocalyptic number.

102505950 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 102505950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145558764).

102505950 is an abundant number, since it is smaller than the sum of its proper divisors (188611578).

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

102505950 is a wasteful number, since it uses less digits than its factorization.

102505950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 102505950 is about 10124.5222109490. The cubic root of 102505950 is about 468.0041364964.

The spelling of 102505950 in words is "one hundred two million, five hundred five thousand, nine hundred fifty".