101128944 has 240 divisors, whose sum is σ = 334740480. Its totient is φ = 26127360.

The previous prime is 101128933. The next prime is 101128967. The reversal of 101128944 is 449821101.

It is a congruent number.

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, 1385292 + ... + 1385364.

It is an arithmetic number, because the mean of its divisors is an integer number (1394752).

Almost surely, 2^101128944 is an apocalyptic number.

101128944 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 101128944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167370240).

101128944 is an abundant number, since it is smaller than the sum of its proper divisors (233611536).

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

101128944 is a wasteful number, since it uses less digits than its factorization.

101128944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 101128944 is about 10056.2887786698. The cubic root of 101128944 is about 465.8990491535.

The spelling of 101128944 in words is "one hundred one million, one hundred twenty-eight thousand, nine hundred forty-four".