103764045445632 has 1440 divisors, whose sum is σ = 369286711794000. Its totient is φ = 27827566018560.

The previous prime is 103764045445631. The next prime is 103764045445639. The reversal of 103764045445632 is 236544540467301.

103764045445632 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 6 + 40 + 4 + 544 + 56 + 3 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36760260024576 + 67003785421056 = 6063024^2 + 8185584^2 .

It is not an unprimeable number, because it can be changed into a prime (103764045445631) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 31320265608 + ... + 31320268920.

Almost surely, 2^{103764045445632} is an apocalyptic number.

103764045445632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103764045445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184643355897000).

103764045445632 is an abundant number, since it is smaller than the sum of its proper divisors (265522666348368).

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

103764045445632 is a wasteful number, since it uses less digits than its factorization.

103764045445632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 103764045445632 in words is "one hundred three trillion, seven hundred sixty-four billion, forty-five million, four hundred forty-five thousand, six hundred thirty-two".