101261928 has 64 divisors (see below), whose sum is σ = 269300160. Its totient is φ = 31620096.

The previous prime is 101261873. The next prime is 101261969. The reversal of 101261928 is 829162101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101261895 and 101261904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115026 + ... + 115902.

It is an arithmetic number, because the mean of its divisors is an integer number (4207815).

Almost surely, 2^101261928 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 101261928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134650080).

101261928 is an abundant number, since it is smaller than the sum of its proper divisors (168038232).

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

101261928 is a wasteful number, since it uses less digits than its factorization.

101261928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 101261928 is about 10062.8985883790. The cubic root of 101261928 is about 466.1031779247.

The spelling of 101261928 in words is "one hundred one million, two hundred sixty-one thousand, nine hundred twenty-eight".