105402244640 has 384 divisors, whose sum is σ = 338088038400. Its totient is φ = 30048399360.

The previous prime is 105402244631. The next prime is 105402244687. The reversal of 105402244640 is 46442204501.

105402244640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105402244640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 105402244597 and 105402244606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6780557 + ... + 6796083.

It is an arithmetic number, because the mean of its divisors is an integer number (880437600).

Almost surely, 2^105402244640 is an apocalyptic number.

105402244640 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 105402244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169044019200).

105402244640 is an abundant number, since it is smaller than the sum of its proper divisors (232685793760).

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

105402244640 is a wasteful number, since it uses less digits than its factorization.

105402244640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15608 (or 15600 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 105402244640 in words is "one hundred five billion, four hundred two million, two hundred forty-four thousand, six hundred forty".