101894832 has 180 divisors, whose sum is σ = 318595680. Its totient is φ = 30371328.

The previous prime is 101894809. The next prime is 101894833. The reversal of 101894832 is 238498101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101894833) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1289769 + ... + 1289847.

It is an arithmetic number, because the mean of its divisors is an integer number (1769976).

Almost surely, 2^101894832 is an apocalyptic number.

101894832 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 101894832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159297840).

101894832 is an abundant number, since it is smaller than the sum of its proper divisors (216700848).

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

101894832 is a wasteful number, since it uses less digits than its factorization.

101894832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 101894832 is about 10094.2970037541. The cubic root of 101894832 is about 467.0722360888.

The spelling of 101894832 in words is "one hundred one million, eight hundred ninety-four thousand, eight hundred thirty-two".