101340032 has 32 divisors (see below), whose sum is σ = 205213800. Its totient is φ = 49835520.

The previous prime is 101339969. The next prime is 101340049. The reversal of 101340032 is 230043101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×101340032² = 20539604171522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101339989 and 101340016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1319 + ... + 14297.

Almost surely, 2^101340032 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 101340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102606900).

101340032 is an abundant number, since it is smaller than the sum of its proper divisors (103873768).

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

101340032 is an equidigital number, since it uses as much as digits as its factorization.

101340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13054 (or 13042 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 101340032 is about 10066.7786307239. The cubic root of 101340032 is about 466.2229832903. Note that the first 3 decimals are identical.

Adding to 101340032 its reverse (230043101), we get a palindrome (331383133).

The spelling of 101340032 in words is "one hundred one million, three hundred forty thousand, thirty-two".