100828650 has 96 divisors (see below), whose sum is σ = 278732160. Its totient is φ = 23950080.

The previous prime is 100828639. The next prime is 100828661. The reversal of 100828650 is 56828001.

It is an interprime number because it is at equal distance from previous prime (100828639) and next prime (100828661).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55659 + ... + 57441.

It is an arithmetic number, because the mean of its divisors is an integer number (2903460).

Almost surely, 2^100828650 is an apocalyptic number.

100828650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100828650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139366080).

100828650 is an abundant number, since it is smaller than the sum of its proper divisors (177903510).

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

100828650 is a wasteful number, since it uses less digits than its factorization.

100828650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 100828650 is about 10041.3470211919. The cubic root of 100828650 is about 465.4374424401.

The spelling of 100828650 in words is "one hundred million, eight hundred twenty-eight thousand, six hundred fifty".