105014402000 has 40 divisors (see below), whose sum is σ = 253924828872. Its totient is φ = 42005760000.

The previous prime is 105014401969. The next prime is 105014402011. The reversal of 105014402000 is 204410501.

It can be written as a sum of positive squares in 4 ways, for example, as 9684134464 + 95330267536 = 98408^2 + 308756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105014402000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105014402000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26251601 + ... + 26255600.

Almost surely, 2^105014402000 is an apocalyptic number.

105014402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105014402000 is an abundant number, since it is smaller than the sum of its proper divisors (148910426872).

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

105014402000 is an equidigital number, since it uses as much as digits as its factorization.

105014402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52507224 (or 52507208 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 105014402000 its reverse (204410501), we get a palindrome (105218812501).

The spelling of 105014402000 in words is "one hundred five billion, fourteen million, four hundred two thousand".