105202944 has 216 divisors, whose sum is σ = 378810432. Its totient is φ = 27279360.

The previous prime is 105202921. The next prime is 105202961. The reversal of 105202944 is 449202501.

It is a super-2 number, since 2×105202944² = 22135318852534272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177112 + ... + 177704.

It is an arithmetic number, because the mean of its divisors is an integer number (1753752).

Almost surely, 2^105202944 is an apocalyptic number.

105202944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105202944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189405216).

105202944 is an abundant number, since it is smaller than the sum of its proper divisors (273607488).

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

105202944 is a wasteful number, since it uses less digits than its factorization.

105202944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105202944 is about 10256.8486388364. The cubic root of 105202944 is about 472.0731477173.

The spelling of 105202944 in words is "one hundred five million, two hundred two thousand, nine hundred forty-four".