101150140 has 96 divisors (see below), whose sum is σ = 263894400. Its totient is φ = 31712256.

The previous prime is 101150123. The next prime is 101150141. The reversal of 101150140 is 41051101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 101150140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101150141) 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, 270994 + ... + 271366.

It is an arithmetic number, because the mean of its divisors is an integer number (2748900).

Almost surely, 2^101150140 is an apocalyptic number.

101150140 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 101150140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131947200).

101150140 is an abundant number, since it is smaller than the sum of its proper divisors (162744260).

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

101150140 is a wasteful number, since it uses less digits than its factorization.

101150140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 101150140 is about 10057.3425913608. The cubic root of 101150140 is about 465.9315967309.

The spelling of 101150140 in words is "one hundred one million, one hundred fifty thousand, one hundred forty".