101286432 has 108 divisors (see below), whose sum is σ = 312043914. Its totient is φ = 31150080.

The previous prime is 101286403. The next prime is 101286443. The reversal of 101286432 is 234682101.

101286432 is a `hidden beast` number, since 1 + 0 + 12 + 8 + 643 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 44675856 + 56610576 = 6684^2 + 7524^2 .

It is a super-3 number, since 3×101286432³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101286396 and 101286405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47632 + ... + 49712.

Almost surely, 2^101286432 is an apocalyptic number.

101286432 is a gapful number since it is divisible by the number (12) 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 101286432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156021957).

101286432 is an abundant number, since it is smaller than the sum of its proper divisors (210757482).

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

101286432 is a wasteful number, since it uses less digits than its factorization.

101286432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 101286432 is about 10064.1160565645. The cubic root of 101286432 is about 466.1407717547.

The spelling of 101286432 in words is "one hundred one million, two hundred eighty-six thousand, four hundred thirty-two".