100851820 has 48 divisors (see below), whose sum is σ = 225566208. Its totient is φ = 37744640.

The previous prime is 100851811. The next prime is 100851847. The reversal of 100851820 is 28158001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64164 + ... + 65716.

It is an arithmetic number, because the mean of its divisors is an integer number (4699296).

Almost surely, 2^100851820 is an apocalyptic number.

100851820 is a gapful number since it is divisible by the number (10) 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 100851820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112783104).

100851820 is an abundant number, since it is smaller than the sum of its proper divisors (124714388).

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

100851820 is a wasteful number, since it uses less digits than its factorization.

100851820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 100851820 is about 10042.5006845905. The cubic root of 100851820 is about 465.4730915656.

The spelling of 100851820 in words is "one hundred million, eight hundred fifty-one thousand, eight hundred twenty".