101034432 has 112 divisors (see below), whose sum is σ = 302361600. Its totient is φ = 33073920.

The previous prime is 101034421. The next prime is 101034467. The reversal of 101034432 is 234430101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 101457 + ... + 102447.

Almost surely, 2^101034432 is an apocalyptic number.

101034432 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 101034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151180800).

101034432 is an abundant number, since it is smaller than the sum of its proper divisors (201327168).

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

101034432 is an equidigital number, since it uses as much as digits as its factorization.

101034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101034432 is about 10051.5885311726. The cubic root of 101034432 is about 465.7538656098.

Adding to 101034432 its reverse (234430101), we get a palindrome (335464533).

It can be divided in two parts, 10103 and 4432, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 101034432 in words is "one hundred one million, thirty-four thousand, four hundred thirty-two".