100395846 has 48 divisors (see below), whose sum is σ = 233614368. Its totient is φ = 31046400.

The previous prime is 100395821. The next prime is 100395857. The reversal of 100395846 is 648593001.

It is a self number, because there is not a number n which added to its sum of digits gives 100395846.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19416 + ... + 24036.

It is an arithmetic number, because the mean of its divisors is an integer number (4866966).

Almost surely, 2^100395846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100395846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116807184).

100395846 is an abundant number, since it is smaller than the sum of its proper divisors (133218522).

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

100395846 is a wasteful number, since it uses less digits than its factorization.

100395846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 100395846 is about 10019.7727519141. The cubic root of 100395846 is about 464.7705284701.

It can be divided in two parts, 1003958 and 46, that added together give a square (1004004 = 1002²).

The spelling of 100395846 in words is "one hundred million, three hundred ninety-five thousand, eight hundred forty-six".