103577284952064 has 1440 divisors, whose sum is σ = 380876142366720. Its totient is φ = 26344724889600.

The previous prime is 103577284952027. The next prime is 103577284952111. The reversal of 103577284952064 is 460259482775301.

It is a happy number.

103577284952064 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 7 + 7 + 2 + 8 + 49 + 520 + 64 = 666.

It is a super-3 number, since 3×103577284952064³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 103577284951992 and 103577284952010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123453259357 + ... + 123453260195.

It is an arithmetic number, because the mean of its divisors is an integer number (264497321088).

It is a 1-persistent number, because it is pandigital, but 2⋅103577284952064 = 207154569904128 is not.

Almost surely, 2^{103577284952064} is an apocalyptic number.

103577284952064 is a gapful number since it is divisible by the number (14) 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 103577284952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190438071183360).

103577284952064 is an abundant number, since it is smaller than the sum of its proper divisors (277298857414656).

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

103577284952064 is a wasteful number, since it uses less digits than its factorization.

103577284952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 103577284952064 in words is "one hundred three trillion, five hundred seventy-seven billion, two hundred eighty-four million, nine hundred fifty-two thousand, sixty-four".