101918432 has 144 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 37497600.

The previous prime is 101918407. The next prime is 101918473. The reversal of 101918432 is 234819101.

It is a junction number, because it is equal to n+sod(n) for n = 101918395 and 101918404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327557 + ... + 327867.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^101918432 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 101918432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

101918432 is an abundant number, since it is smaller than the sum of its proper divisors (166975648).

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

101918432 is a wasteful number, since it uses less digits than its factorization.

101918432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 101918432 is about 10095.4659129730. The cubic root of 101918432 is about 467.1082930496.

The spelling of 101918432 in words is "one hundred one million, nine hundred eighteen thousand, four hundred thirty-two".