105654020940 has 288 divisors, whose sum is σ = 354791428992. Its totient is φ = 25284096000.

The previous prime is 105654020939. The next prime is 105654020947. The reversal of 105654020940 is 49020456501.

105654020940 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 540 + 20 + 94 + 0 = 666.

It is a super-2 number, since 2×105654020940² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105654020895 and 105654020904.

It is not an unprimeable number, because it can be changed into a prime (105654020947) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29835570 + ... + 29839110.

It is an arithmetic number, because the mean of its divisors is an integer number (1231914684).

Almost surely, 2^105654020940 is an apocalyptic number.

105654020940 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 105654020940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177395714496).

105654020940 is an abundant number, since it is smaller than the sum of its proper divisors (249137408052).

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

105654020940 is a wasteful number, since it uses less digits than its factorization.

105654020940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 105654020940 in words is "one hundred five billion, six hundred fifty-four million, twenty thousand, nine hundred forty".