103669314979680 has 288 divisors, whose sum is σ = 361777078222560. Its totient is φ = 27025125949440.

The previous prime is 103669314979631. The next prime is 103669314979777. The reversal of 103669314979680 is 86979413966301.

103669314979680 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 69 + 314 + 97 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×103669314979680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 103669314979599 and 103669314979608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10697656 + ... + 17938184.

It is an arithmetic number, because the mean of its divisors is an integer number (1256170410495).

Almost surely, 2^{103669314979680} is an apocalyptic number.

103669314979680 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 103669314979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180888539111280).

103669314979680 is an abundant number, since it is smaller than the sum of its proper divisors (258107763242880).

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

103669314979680 is a wasteful number, since it uses less digits than its factorization.

103669314979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240774 (or 7240763 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 103669314979680 in words is "one hundred three trillion, six hundred sixty-nine billion, three hundred fourteen million, nine hundred seventy-nine thousand, six hundred eighty".