101100032 has 80 divisors (see below), whose sum is σ = 228333600. Its totient is φ = 44298240.

The previous prime is 101100029. The next prime is 101100049. The reversal of 101100032 is 230001101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 101099992 and 101100019.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163019 + ... + 163637.

It is an arithmetic number, because the mean of its divisors is an integer number (2854170).

Almost surely, 2^101100032 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 101100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114166800).

101100032 is an abundant number, since it is smaller than the sum of its proper divisors (127233568).

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

101100032 is an equidigital number, since it uses as much as digits as its factorization.

101100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101100032 is about 10054.8511674714. The cubic root of 101100032 is about 465.8546459172.

Adding to 101100032 its reverse (230001101), we get a palindrome (331101133).

The spelling of 101100032 in words is "one hundred one million, one hundred thousand, thirty-two".