30145215400100 has 72 divisors (see below), whose sum is σ = 67603623356808. Its totient is φ = 11659880243200.

The previous prime is 30145215400093. The next prime is 30145215400187. The reversal of 30145215400100 is 100451254103.

It can be written as a sum of positive squares in 12 ways, for example, as 18420302604544 + 11724912795556 = 4291888^2 + 3424166^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30145215400100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32069849 + ... + 32996448.

It is an arithmetic number, because the mean of its divisors is an integer number (938939213289).

Almost surely, 2^{30145215400100} is an apocalyptic number.

It is an amenable number.

30145215400100 is an abundant number, since it is smaller than the sum of its proper divisors (37458407956708).

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

30145215400100 is a wasteful number, since it uses less digits than its factorization.

30145215400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65066465 (or 65066458 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 30145215400100 its reverse (100451254103), we get a palindrome (30245666654203).

The spelling of 30145215400100 in words is "thirty trillion, one hundred forty-five billion, two hundred fifteen million, four hundred thousand, one hundred".