100528992 has 96 divisors (see below), whose sum is σ = 294940800. Its totient is φ = 33312384.

The previous prime is 100528991. The next prime is 100528999. The reversal of 100528992 is 299825001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100528991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265059 + ... + 265437.

It is an arithmetic number, because the mean of its divisors is an integer number (3072300).

Almost surely, 2^100528992 is an apocalyptic number.

100528992 is a gapful number since it is divisible by the number (12) 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 100528992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147470400).

100528992 is an abundant number, since it is smaller than the sum of its proper divisors (194411808).

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

100528992 is a wasteful number, since it uses less digits than its factorization.

100528992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 100528992 is about 10026.4147131465. The cubic root of 100528992 is about 464.9758988549.

It can be divided in two parts, 10052 and 8992, that added together give a square (19044 = 138²).

The spelling of 100528992 in words is "one hundred million, five hundred twenty-eight thousand, nine hundred ninety-two".