103677878360 has 128 divisors (see below), whose sum is σ = 281078899200. Its totient is φ = 33622179840.

The previous prime is 103677878351. The next prime is 103677878371. The reversal of 103677878360 is 63878776301.

It is a super-3 number, since 3×103677878360³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 103677878296 and 103677878305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3394919 + ... + 3425321.

It is an arithmetic number, because the mean of its divisors is an integer number (2195928900).

Almost surely, 2^103677878360 is an apocalyptic number.

103677878360 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 103677878360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140539449600).

103677878360 is an abundant number, since it is smaller than the sum of its proper divisors (177401020840).

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

103677878360 is a wasteful number, since it uses less digits than its factorization.

103677878360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31081 (or 31077 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 56.

The spelling of 103677878360 in words is "one hundred three billion, six hundred seventy-seven million, eight hundred seventy-eight thousand, three hundred sixty".