100963728 has 60 divisors (see below), whose sum is σ = 287911260. Its totient is φ = 33017088.

The previous prime is 100963673. The next prime is 100963729. The reversal of 100963728 is 827369001.

100963728 is a `hidden beast` number, since 10 + 0 + 9 + 637 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92390544 + 8573184 = 9612^2 + 2928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100963692 and 100963701.

It is not an unprimeable number, because it can be changed into a prime (100963729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1018 + ... + 14246.

It is an arithmetic number, because the mean of its divisors is an integer number (4798521).

Almost surely, 2^100963728 is an apocalyptic number.

100963728 is a gapful number since it is divisible by the number (18) 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 100963728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143955630).

100963728 is an abundant number, since it is smaller than the sum of its proper divisors (186947532).

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

100963728 is a wasteful number, since it uses less digits than its factorization.

100963728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13296 (or 13287 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 100963728 is about 10048.0708596228. The cubic root of 100963728 is about 465.6451952444.

It can be divided in two parts, 10096 and 3728, that added together give a cube (13824 = 24³).

The spelling of 100963728 in words is "one hundred million, nine hundred sixty-three thousand, seven hundred twenty-eight".