103277883451680 has 576 divisors, whose sum is σ = 422891917943040. Its totient is φ = 22452171743232.

The previous prime is 103277883451643. The next prime is 103277883451681. The reversal of 103277883451680 is 86154388772301.

It is a happy number.

103277883451680 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 7 + 7 + 8 + 8 + 34 + 516 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103277883451681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16948842 + ... + 22222038.

It is an arithmetic number, because the mean of its divisors is an integer number (734187357540).

Almost surely, 2^{103277883451680} is an apocalyptic number.

103277883451680 is a gapful number since it is divisible by the number (10) 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 103277883451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211445958971520).

103277883451680 is an abundant number, since it is smaller than the sum of its proper divisors (319614034491360).

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

103277883451680 is a wasteful number, since it uses less digits than its factorization.

103277883451680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273321 (or 5273310 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 103277883451680 in words is "one hundred three trillion, two hundred seventy-seven billion, eight hundred eighty-three million, four hundred fifty-one thousand, six hundred eighty".