103677254560 has 192 divisors, whose sum is σ = 280259046144. Its totient is φ = 35875840000.

The previous prime is 103677254543. The next prime is 103677254563. The reversal of 103677254560 is 65452776301.

It is a super-2 number, since 2×103677254560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 103677254560.

It is not an unprimeable number, because it can be changed into a prime (103677254563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7968060 + ... + 7981060.

It is an arithmetic number, because the mean of its divisors is an integer number (1459682532).

Almost surely, 2^103677254560 is an apocalyptic number.

103677254560 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 103677254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140129523072).

103677254560 is an abundant number, since it is smaller than the sum of its proper divisors (176581791584).

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

103677254560 is a wasteful number, since it uses less digits than its factorization.

103677254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13247 (or 13239 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 103677254560 in words is "one hundred three billion, six hundred seventy-seven million, two hundred fifty-four thousand, five hundred sixty".