105065201640 has 256 divisors, whose sum is σ = 365637888000. Its totient is φ = 23656688640.

The previous prime is 105065201599. The next prime is 105065201671. The reversal of 105065201640 is 46102560501.

It is a super-2 number, since 2×105065201640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105065201598 and 105065201607.

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, 15292126 + ... + 15298994.

It is an arithmetic number, because the mean of its divisors is an integer number (1428273000).

Almost surely, 2^105065201640 is an apocalyptic number.

105065201640 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 105065201640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182818944000).

105065201640 is an abundant number, since it is smaller than the sum of its proper divisors (260572686360).

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

105065201640 is a wasteful number, since it uses less digits than its factorization.

105065201640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 105065201640 in words is "one hundred five billion, sixty-five million, two hundred one thousand, six hundred forty".