101314140 has 96 divisors (see below), whose sum is σ = 297851904. Its totient is φ = 25701120.

The previous prime is 101314097. The next prime is 101314183. The reversal of 101314140 is 41413101.

It is an interprime number because it is at equal distance from previous prime (101314097) and next prime (101314183).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103855 + ... + 104825.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 2^101314140 is an apocalyptic number.

101314140 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 101314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

101314140 is an abundant number, since it is smaller than the sum of its proper divisors (196537764).

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

101314140 is a wasteful number, since it uses less digits than its factorization.

101314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101314140 is about 10065.4925363839. The cubic root of 101314140 is about 466.1832738308.

Adding to 101314140 its reverse (41413101), we get a palindrome (142727241).

The spelling of 101314140 in words is "one hundred one million, three hundred fourteen thousand, one hundred forty".