101041928 has 32 divisors (see below), whose sum is σ = 206837400. Its totient is φ = 45992448.

The previous prime is 101041909. The next prime is 101041933. The reversal of 101041928 is 829140101.

It can be written as a sum of positive squares in 4 ways, for example, as 38663524 + 62378404 = 6218^2 + 7898^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 101041897 and 101041906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 938 + ... + 14246.

Almost surely, 2^101041928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101041928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103418700).

101041928 is an abundant number, since it is smaller than the sum of its proper divisors (105795472).

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

101041928 is a wasteful number, since it uses less digits than its factorization.

101041928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13401 (or 13397 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 101041928 is about 10051.9614006422. The cubic root of 101041928 is about 465.7653838106.

The spelling of 101041928 in words is "one hundred one million, forty-one thousand, nine hundred twenty-eight".