101104013140 has 96 divisors (see below), whose sum is σ = 236303083296. Its totient is φ = 36097474560.

The previous prime is 101104013123. The next prime is 101104013159. The reversal of 101104013140 is 41310401101.

It can be written as a sum of positive squares in 16 ways, for example, as 79486780356 + 21617232784 = 281934^2 + 147028^2 .

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, 1162614 + ... + 1246546.

It is an arithmetic number, because the mean of its divisors is an integer number (2461490451).

Almost surely, 2^101104013140 is an apocalyptic number.

101104013140 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 101104013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118151541648).

101104013140 is an abundant number, since it is smaller than the sum of its proper divisors (135199070156).

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

101104013140 is a wasteful number, since it uses less digits than its factorization.

101104013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84109 (or 84107 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101104013140 its reverse (41310401101), we get a palindrome (142414414241).

The spelling of 101104013140 in words is "one hundred one billion, one hundred four million, thirteen thousand, one hundred forty".