101085432 has 96 divisors (see below), whose sum is σ = 300960000. Its totient is φ = 28195776.

The previous prime is 101085431. The next prime is 101085449. The reversal of 101085432 is 234580101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101085431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49569 + ... + 51567.

It is an arithmetic number, because the mean of its divisors is an integer number (3135000).

Almost surely, 2^101085432 is an apocalyptic number.

101085432 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 101085432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150480000).

101085432 is an abundant number, since it is smaller than the sum of its proper divisors (199874568).

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

101085432 is a wasteful number, since it uses less digits than its factorization.

101085432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 101085432 is about 10054.1251235500. The cubic root of 101085432 is about 465.8322199261.

The spelling of 101085432 in words is "one hundred one million, eighty-five thousand, four hundred thirty-two".