101391408 has 120 divisors (see below), whose sum is σ = 295266816. Its totient is φ = 32457600.

The previous prime is 101391347. The next prime is 101391413. The reversal of 101391408 is 804193101.

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, 480423 + ... + 480633.

Almost surely, 2^101391408 is an apocalyptic number.

101391408 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 101391408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147633408).

101391408 is an abundant number, since it is smaller than the sum of its proper divisors (193875408).

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

101391408 is a wasteful number, since it uses less digits than its factorization.

101391408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101391408 is about 10069.3300670899. The cubic root of 101391408 is about 466.3017564560.

The spelling of 101391408 in words is "one hundred one million, three hundred ninety-one thousand, four hundred eight".