103356486144 has 120 divisors (see below), whose sum is σ = 298490043852. Its totient is φ = 34429501440.

The previous prime is 103356486119. The next prime is 103356486157. The reversal of 103356486144 is 441684653301.

103356486144 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 564 + 86 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99785228544 + 3571257600 = 315888^2 + 59760^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 103356486144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7923852 + ... + 7936884.

Almost surely, 2^103356486144 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 103356486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149245021926).

103356486144 is an abundant number, since it is smaller than the sum of its proper divisors (195133557708).

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

103356486144 is a wasteful number, since it uses less digits than its factorization.

103356486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14778 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 103356486144 in words is "one hundred three billion, three hundred fifty-six million, four hundred eighty-six thousand, one hundred forty-four".