100950928 has 40 divisors (see below), whose sum is σ = 215555648. Its totient is φ = 45505152.

The previous prime is 100950917. The next prime is 100950929. The reversal of 100950928 is 829059001.

It is a super-2 number, since 2×100950928² = 20382179728122368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100950893 and 100950902.

It is not an unprimeable number, because it can be changed into a prime (100950929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3301 + ... + 14587.

Almost surely, 2^100950928 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 100950928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107777824).

100950928 is an abundant number, since it is smaller than the sum of its proper divisors (114604720).

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

100950928 is a wasteful number, since it uses less digits than its factorization.

100950928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11351 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 100950928 is about 10047.4339012506. The cubic root of 100950928 is about 465.6255165257.

The spelling of 100950928 in words is "one hundred million, nine hundred fifty thousand, nine hundred twenty-eight".