101132640 has 288 divisors, whose sum is σ = 402554880. Its totient is φ = 22643712.

The previous prime is 101132623. The next prime is 101132641. The reversal of 101132640 is 46231101.

It is a happy number.

101132640 is a `hidden beast` number, since 10 + 1 + 13 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796257 + ... + 796383.

It is an arithmetic number, because the mean of its divisors is an integer number (1397760).

Almost surely, 2^101132640 is an apocalyptic number.

101132640 is a gapful number since it is divisible by the number (10) 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 101132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

101132640 is an abundant number, since it is smaller than the sum of its proper divisors (301422240).

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

101132640 is a wasteful number, since it uses less digits than its factorization.

101132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101132640 is about 10056.4725425966. The cubic root of 101132640 is about 465.9047248840.

Adding to 101132640 its reverse (46231101), we get a palindrome (147363741).

The spelling of 101132640 in words is "one hundred one million, one hundred thirty-two thousand, six hundred forty".