101325563162604 has 192 divisors, whose sum is σ = 291476087884800. Its totient is φ = 30182418201600.

The previous prime is 101325563162591. The next prime is 101325563162627. The reversal of 101325563162604 is 406261365523101.

It is a happy number.

101325563162604 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 5 + 5 + 6 + 31 + 6 + 2 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101325563162604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26642962 + ... + 30207590.

It is an arithmetic number, because the mean of its divisors is an integer number (1518104624400).

Almost surely, 2^{101325563162604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101325563162604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145738043942400).

101325563162604 is an abundant number, since it is smaller than the sum of its proper divisors (190150524722196).

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

101325563162604 is a wasteful number, since it uses less digits than its factorization.

101325563162604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565061 (or 3565053 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 101325563162604 in words is "one hundred one trillion, three hundred twenty-five billion, five hundred sixty-three million, one hundred sixty-two thousand, six hundred four".