103978453680 has 320 divisors, whose sum is σ = 372301171200. Its totient is φ = 26641198080.

The previous prime is 103978453633. The next prime is 103978453687. The reversal of 103978453680 is 86354879301.

103978453680 is a `hidden beast` number, since 1 + 0 + 39 + 78 + 4 + 536 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (103978453687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13213107 + ... + 13220973.

It is an arithmetic number, because the mean of its divisors is an integer number (1163441160).

Almost surely, 2^103978453680 is an apocalyptic number.

103978453680 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 103978453680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186150585600).

103978453680 is an abundant number, since it is smaller than the sum of its proper divisors (268322717520).

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

103978453680 is a wasteful number, since it uses less digits than its factorization.

103978453680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8129 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 103978453680 in words is "one hundred three billion, nine hundred seventy-eight million, four hundred fifty-three thousand, six hundred eighty".