101104531040 has 96 divisors (see below), whose sum is σ = 242534476800. Its totient is φ = 39822810624.

The previous prime is 101104531007. The next prime is 101104531049. The reversal of 101104531040 is 40135401101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101104531049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4064561 + ... + 4089359.

It is an arithmetic number, because the mean of its divisors is an integer number (2526400800).

Almost surely, 2^101104531040 is an apocalyptic number.

101104531040 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 101104531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121267238400).

101104531040 is an abundant number, since it is smaller than the sum of its proper divisors (141429945760).

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

101104531040 is a wasteful number, since it uses less digits than its factorization.

101104531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25204 (or 25196 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 101104531040 its reverse (40135401101), we get a palindrome (141239932141).

The spelling of 101104531040 in words is "one hundred one billion, one hundred four million, five hundred thirty-one thousand, forty".