10201950 has 120 divisors (see below), whose sum is σ = 31058280. Its totient is φ = 2462400.

The previous prime is 10201943. The next prime is 10201951. The reversal of 10201950 is 5910201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44436 + ... + 44664.

It is an arithmetic number, because the mean of its divisors is an integer number (258819).

Almost surely, 2^10201950 is an apocalyptic number.

10201950 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 10201950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15529140).

10201950 is an abundant number, since it is smaller than the sum of its proper divisors (20856330).

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

10201950 is a wasteful number, since it uses less digits than its factorization.

10201950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10201950 is about 3194.0491542868. The cubic root of 10201950 is about 216.8841078099.

The spelling of 10201950 in words is "ten million, two hundred one thousand, nine hundred fifty".