105299001474816 has 144 divisors (see below), whose sum is σ = 281059274200320. Its totient is φ = 34998193643520.

The previous prime is 105299001474803. The next prime is 105299001474883. The reversal of 105299001474816 is 618474100992501.

It is a super-2 number, since 2×105299001474816² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4158551436 + ... + 4158576756.

It is an arithmetic number, because the mean of its divisors is an integer number (1951800515280).

Almost surely, 2^{105299001474816} is an apocalyptic number.

105299001474816 is a gapful number since it is divisible by the number (16) 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 105299001474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140529637100160).

105299001474816 is an abundant number, since it is smaller than the sum of its proper divisors (175760272725504).

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

105299001474816 is a wasteful number, since it uses less digits than its factorization.

105299001474816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40782 (or 40768 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 105299001474816 in words is "one hundred five trillion, two hundred ninety-nine billion, one million, four hundred seventy-four thousand, eight hundred sixteen".