105678349920 has 576 divisors, whose sum is σ = 436958323200. Its totient is φ = 23646504960.

The previous prime is 105678349919. The next prime is 105678349921. The reversal of 105678349920 is 29943876501.

105678349920 is a `hidden beast` number, since 1 + 0 + 56 + 7 + 83 + 499 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (105678349919) and next prime (105678349921).

It is a super-2 number, since 2×105678349920² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105678349921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8024301 + ... + 8037459.

It is an arithmetic number, because the mean of its divisors is an integer number (758608200).

It is a 1-persistent number, because it is pandigital, but 2⋅105678349920 = 211356699840 is not.

Almost surely, 2^105678349920 is an apocalyptic number.

105678349920 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 105678349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218479161600).

105678349920 is an abundant number, since it is smaller than the sum of its proper divisors (331279973280).

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

105678349920 is a wasteful number, since it uses less digits than its factorization.

105678349920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13220 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 105678349920 in words is "one hundred five billion, six hundred seventy-eight million, three hundred forty-nine thousand, nine hundred twenty".