101845408 has 48 divisors (see below), whose sum is σ = 230053824. Its totient is φ = 43476480.

The previous prime is 101845397. The next prime is 101845409. The reversal of 101845408 is 804548101.

It is a self number, because there is not a number n which added to its sum of digits gives 101845408.

It is not an unprimeable number, because it can be changed into a prime (101845409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68028 + ... + 69508.

It is an arithmetic number, because the mean of its divisors is an integer number (4792788).

Almost surely, 2^101845408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101845408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115026912).

101845408 is an abundant number, since it is smaller than the sum of its proper divisors (128208416).

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

101845408 is a wasteful number, since it uses less digits than its factorization.

101845408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 101845408 is about 10091.8485918091. The cubic root of 101845408 is about 466.9967062144.

The spelling of 101845408 in words is "one hundred one million, eight hundred forty-five thousand, four hundred eight".