105147290784 has 288 divisors, whose sum is σ = 310687634880. Its totient is φ = 31043616768.

The previous prime is 105147290771. The next prime is 105147290813. The reversal of 105147290784 is 487092741501.

It is a super-2 number, since 2×105147290784² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 91193952 + ... + 91195104.

It is an arithmetic number, because the mean of its divisors is an integer number (1078776510).

Almost surely, 2^105147290784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105147290784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155343817440).

105147290784 is an abundant number, since it is smaller than the sum of its proper divisors (205540344096).

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

105147290784 is a wasteful number, since it uses less digits than its factorization.

105147290784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 105147290784 in words is "one hundred five billion, one hundred forty-seven million, two hundred ninety thousand, seven hundred eighty-four".