101040205320 has 192 divisors, whose sum is σ = 338354115840. Its totient is φ = 26130470400.

The previous prime is 101040205249. The next prime is 101040205333. The reversal of 101040205320 is 23502040101.

101040205320 is a `hidden beast` number, since 10 + 104 + 0 + 20 + 532 + 0 = 666.

It is a super-2 number, since 2×101040205320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101040205293 and 101040205302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4130325 + ... + 4154715.

It is an arithmetic number, because the mean of its divisors is an integer number (1762261020).

Almost surely, 2^101040205320 is an apocalyptic number.

101040205320 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 101040205320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169177057920).

101040205320 is an abundant number, since it is smaller than the sum of its proper divisors (237313910520).

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

101040205320 is a wasteful number, since it uses less digits than its factorization.

101040205320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24756 (or 24749 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 101040205320 its reverse (23502040101), we get a palindrome (124542245421).

The spelling of 101040205320 in words is "one hundred one billion, forty million, two hundred five thousand, three hundred twenty".