101452032 has 108 divisors (see below), whose sum is σ = 319182864. Its totient is φ = 30735360.

The previous prime is 101452019. The next prime is 101452111. The reversal of 101452032 is 230254101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101451996 and 101452014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23343 + ... + 27345.

Almost surely, 2^101452032 is an apocalyptic number.

101452032 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 101452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159591432).

101452032 is an abundant number, since it is smaller than the sum of its proper divisors (217730832).

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

101452032 is a wasteful number, since it uses less digits than its factorization.

101452032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101452032 is about 10072.3399466063. The cubic root of 101452032 is about 466.3946750635.

The spelling of 101452032 in words is "one hundred one million, four hundred fifty-two thousand, thirty-two".