101155032 has 144 divisors (see below), whose sum is σ = 319311720. Its totient is φ = 28807680.

The previous prime is 101155009. The next prime is 101155037. The reversal of 101155032 is 230551101.

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 = 101154996 and 101155014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101155037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147763 + ... + 148445.

Almost surely, 2^101155032 is an apocalyptic number.

101155032 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 101155032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159655860).

101155032 is an abundant number, since it is smaller than the sum of its proper divisors (218156688).

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

101155032 is a wasteful number, since it uses less digits than its factorization.

101155032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101155032 is about 10057.5857938175. The cubic root of 101155032 is about 465.9391080094.

The spelling of 101155032 in words is "one hundred one million, one hundred fifty-five thousand, thirty-two".