101032140 has 96 divisors (see below), whose sum is σ = 315270144. Its totient is φ = 23964160.

The previous prime is 101032121. The next prime is 101032147. The reversal of 101032140 is 41230101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101032147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29392 + ... + 32648.

It is an arithmetic number, because the mean of its divisors is an integer number (3284064).

Almost surely, 2^101032140 is an apocalyptic number.

101032140 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 101032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157635072).

101032140 is an abundant number, since it is smaller than the sum of its proper divisors (214238004).

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

101032140 is a wasteful number, since it uses less digits than its factorization.

101032140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101032140 is about 10051.4745186962. The cubic root of 101032140 is about 465.7503436556.

Adding to 101032140 its reverse (41230101), we get a palindrome (142262241).

The spelling of 101032140 in words is "one hundred one million, thirty-two thousand, one hundred forty".