101005050 has 96 divisors (see below), whose sum is σ = 259536960. Its totient is φ = 25984000.

The previous prime is 101005039. The next prime is 101005133. The reversal of 101005050 is 50500101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893794 + ... + 893906.

It is an arithmetic number, because the mean of its divisors is an integer number (2703510).

Almost surely, 2^101005050 is an apocalyptic number.

101005050 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 101005050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129768480).

101005050 is an abundant number, since it is smaller than the sum of its proper divisors (158531910).

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

101005050 is a wasteful number, since it uses less digits than its factorization.

101005050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 101005050 is about 10050.1268648709. The cubic root of 101005050 is about 465.7087123335.

Adding to 101005050 its reverse (50500101), we get a palindrome (151505151).

The spelling of 101005050 in words is "one hundred one million, five thousand, fifty".