105702021200 has 60 divisors (see below), whose sum is σ = 255802881660. Its totient is φ = 41972167680.

The previous prime is 105702021197. The next prime is 105702021203. The reversal of 105702021200 is 2120207501.

It is an interprime number because it is at equal distance from previous prime (105702021197) and next prime (105702021203).

It can be written as a sum of positive squares in 6 ways, for example, as 16451653696 + 89250367504 = 128264^2 + 298748^2 .

It is a super-2 number, since 2×105702021200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105702021203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909635 + ... + 1019234.

It is an arithmetic number, because the mean of its divisors is an integer number (4263381361).

Almost surely, 2^105702021200 is an apocalyptic number.

105702021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105702021200 is an abundant number, since it is smaller than the sum of its proper divisors (150100860460).

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

105702021200 is a wasteful number, since it uses less digits than its factorization.

105702021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929024 (or 1929013 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

Adding to 105702021200 its reverse (2120207501), we get a palindrome (107822228701).

The spelling of 105702021200 in words is "one hundred five billion, seven hundred two million, twenty-one thousand, two hundred".