105321157900 has 72 divisors (see below), whose sum is σ = 266753926656. Its totient is φ = 35341800000.

The previous prime is 105321157817. The next prime is 105321157937. The reversal of 105321157900 is 9751123501.

It is a super-2 number, since 2×105321157900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567726 + ... + 1633525.

It is an arithmetic number, because the mean of its divisors is an integer number (3704915648).

Almost surely, 2^105321157900 is an apocalyptic number.

105321157900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105321157900 is an abundant number, since it is smaller than the sum of its proper divisors (161432768756).

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

105321157900 is a wasteful number, since it uses less digits than its factorization.

105321157900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201319 (or 3201312 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 34.

It can be divided in two parts, 1053211 and 57900, that added together give a palindrome (1111111).

The spelling of 105321157900 in words is "one hundred five billion, three hundred twenty-one million, one hundred fifty-seven thousand, nine hundred".