101140704 has 144 divisors (see below), whose sum is σ = 343299600. Its totient is φ = 28885248.

The previous prime is 101140703. The next prime is 101140751. The reversal of 101140704 is 407041101.

It is a tau number, because it is divible by the number of its divisors (144).

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 (101140703) 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, 41142 + ... + 43530.

It is an arithmetic number, because the mean of its divisors is an integer number (2384025).

Almost surely, 2^101140704 is an apocalyptic number.

101140704 is a gapful number since it is divisible by the number (14) 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 101140704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171649800).

101140704 is an abundant number, since it is smaller than the sum of its proper divisors (242158896).

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

101140704 is a wasteful number, since it uses less digits than its factorization.

101140704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 101140704 is about 10056.8734704181. The cubic root of 101140704 is about 465.9171078161.

Adding to 101140704 its reverse (407041101), we get a palindrome (508181805).

The spelling of 101140704 in words is "one hundred one million, one hundred forty thousand, seven hundred four".