105346321640 has 64 divisors (see below), whose sum is σ = 279628968960. Its totient is φ = 34953615360.

The previous prime is 105346321637. The next prime is 105346321643. The reversal of 105346321640 is 46123643501.

It is an interprime number because it is at equal distance from previous prime (105346321637) and next prime (105346321643).

It is a super-2 number, since 2×105346321640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 105346321640.

It is not an unprimeable number, because it can be changed into a prime (105346321643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6059657 + ... + 6077016.

It is an arithmetic number, because the mean of its divisors is an integer number (4369202640).

Almost surely, 2^105346321640 is an apocalyptic number.

105346321640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105346321640 is an abundant number, since it is smaller than the sum of its proper divisors (174282647320).

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

105346321640 is a wasteful number, since it uses less digits than its factorization.

105346321640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12136722 (or 12136718 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 105346321640 in words is "one hundred five billion, three hundred forty-six million, three hundred twenty-one thousand, six hundred forty".