101042032 has 80 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 38578176.

The previous prime is 101042023. The next prime is 101042041. The reversal of 101042032 is 230240101.

It is an interprime number because it is at equal distance from previous prime (101042023) and next prime (101042041).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41028 + ... + 43420.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^101042032 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 101042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

101042032 is an abundant number, since it is smaller than the sum of its proper divisors (148317008).

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

101042032 is a wasteful number, since it uses less digits than its factorization.

101042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 101042032 is about 10051.9665737606. The cubic root of 101042032 is about 465.7655436109.

Adding to 101042032 its reverse (230240101), we get a palindrome (331282133).

The spelling of 101042032 in words is "one hundred one million, forty-two thousand, thirty-two".