101146408 has 32 divisors (see below), whose sum is σ = 208404000. Its totient is φ = 45639360.

The previous prime is 101146399. The next prime is 101146411. The reversal of 101146408 is 804641101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8098 + ... + 16366.

It is an arithmetic number, because the mean of its divisors is an integer number (6512625).

Almost surely, 2^101146408 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 101146408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104202000).

101146408 is an abundant number, since it is smaller than the sum of its proper divisors (107257592).

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

101146408 is a wasteful number, since it uses less digits than its factorization.

101146408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8425 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 101146408 is about 10057.1570535614. The cubic root of 101146408 is about 465.9258663776.

Adding to 101146408 its reverse (804641101), we get a palindrome (905787509).

The spelling of 101146408 in words is "one hundred one million, one hundred forty-six thousand, four hundred eight".