101945532 has 72 divisors (see below), whose sum is σ = 272822256. Its totient is φ = 29512704.

The previous prime is 101945531. The next prime is 101945537. The reversal of 101945532 is 235549101.

It is a self number, because there is not a number n which added to its sum of digits gives 101945532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101945531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32998 + ... + 35954.

It is an arithmetic number, because the mean of its divisors is an integer number (3789198).

Almost surely, 2^101945532 is an apocalyptic number.

101945532 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 101945532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136411128).

101945532 is an abundant number, since it is smaller than the sum of its proper divisors (170876724).

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

101945532 is a wasteful number, since it uses less digits than its factorization.

101945532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 101945532 is about 10096.8080104556. The cubic root of 101945532 is about 467.1496905760.

The spelling of 101945532 in words is "one hundred one million, nine hundred forty-five thousand, five hundred thirty-two".