105143749920 has 384 divisors, whose sum is σ = 403167663360. Its totient is φ = 25380864000.

The previous prime is 105143749903. The next prime is 105143749937. The reversal of 105143749920 is 29947341501.

105143749920 is a `hidden beast` number, since 1 + 0 + 514 + 3 + 7 + 49 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105143749903) and next prime (105143749937).

It is a super-2 number, since 2×105143749920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11447730 + ... + 11456910.

It is an arithmetic number, because the mean of its divisors is an integer number (1049915790).

Almost surely, 2^105143749920 is an apocalyptic number.

105143749920 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 105143749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201583831680).

105143749920 is an abundant number, since it is smaller than the sum of its proper divisors (298023913440).

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

105143749920 is a wasteful number, since it uses less digits than its factorization.

105143749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9457 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 105143749920 in words is "one hundred five billion, one hundred forty-three million, seven hundred forty-nine thousand, nine hundred twenty".