105221153000 has 32 divisors (see below), whose sum is σ = 246217500360. Its totient is φ = 42088460800.

The previous prime is 105221152987. The next prime is 105221153017. The reversal of 105221153000 is 351122501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67796702884 + 37424450116 = 260378^2 + 193454^2 .

It is a super-2 number, since 2×105221153000² (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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52609577 + ... + 52611576.

Almost surely, 2^105221153000 is an apocalyptic number.

105221153000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105221153000 is an abundant number, since it is smaller than the sum of its proper divisors (140996347360).

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

105221153000 is a wasteful number, since it uses less digits than its factorization.

105221153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105221174 (or 105221160 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 105221153000 its reverse (351122501), we get a palindrome (105572275501).

The spelling of 105221153000 in words is "one hundred five billion, two hundred twenty-one million, one hundred fifty-three thousand".