103027977216 has 440 divisors, whose sum is σ = 336410464896. Its totient is φ = 31266570240.

The previous prime is 103027977209. The next prime is 103027977257. The reversal of 103027977216 is 612779720301.

It is a super-2 number, since 2×103027977216² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43710310 + ... + 43712666.

Almost surely, 2^103027977216 is an apocalyptic number.

103027977216 is a gapful number since it is divisible by the number (16) 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 103027977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168205232448).

103027977216 is an abundant number, since it is smaller than the sum of its proper divisors (233382487680).

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

103027977216 is a wasteful number, since it uses less digits than its factorization.

103027977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 103027977216 in words is "one hundred three billion, twenty-seven million, nine hundred seventy-seven thousand, two hundred sixteen".