100928646 has 256 divisors, whose sum is σ = 309657600. Its totient is φ = 23607936.

The previous prime is 100928603. The next prime is 100928647. The reversal of 100928646 is 646829001.

100928646 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 2 + 8 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100928646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100928647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2147395 + ... + 2147441.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^100928646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100928646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

100928646 is an abundant number, since it is smaller than the sum of its proper divisors (208728954).

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

100928646 is a wasteful number, since it uses less digits than its factorization.

100928646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 100928646 is about 10046.3249997200. The cubic root of 100928646 is about 465.5912562127.

The spelling of 100928646 in words is "one hundred million, nine hundred twenty-eight thousand, six hundred forty-six".