101085408 has 120 divisors (see below), whose sum is σ = 302785560. Its totient is φ = 33073920.

The previous prime is 101085373. The next prime is 101085421. The reversal of 101085408 is 804580101.

101085408 is a `hidden beast` number, since 10 + 108 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152598 + ... + 153258.

It is an arithmetic number, because the mean of its divisors is an integer number (2523213).

Almost surely, 2^101085408 is an apocalyptic number.

101085408 is a gapful number since it is divisible by the number (18) 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 101085408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151392780).

101085408 is an abundant number, since it is smaller than the sum of its proper divisors (201700152).

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

101085408 is an equidigital number, since it uses as much as digits as its factorization.

101085408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 101085408 is about 10054.1239300100. The cubic root of 101085408 is about 465.8321830597.

The spelling of 101085408 in words is "one hundred one million, eighty-five thousand, four hundred eight".