105299863470 has 96 divisors (see below), whose sum is σ = 279167114304. Its totient is φ = 27530380800.

The previous prime is 105299863453. The next prime is 105299863477. The reversal of 105299863470 is 74368992501.

105299863470 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 99 + 86 + 3 + 470 = 666.

It is a super-2 number, since 2×105299863470² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105299863477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676554 + ... + 1738226.

It is an arithmetic number, because the mean of its divisors is an integer number (2907990774).

It is a 1-persistent number, because it is pandigital, but 2⋅105299863470 = 210599726940 is not.

Almost surely, 2^105299863470 is an apocalyptic number.

105299863470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105299863470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139583557152).

105299863470 is an abundant number, since it is smaller than the sum of its proper divisors (173867250834).

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

105299863470 is a wasteful number, since it uses less digits than its factorization.

105299863470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62058 (or 62055 counting only the distinct ones).

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

The spelling of 105299863470 in words is "one hundred five billion, two hundred ninety-nine million, eight hundred sixty-three thousand, four hundred seventy".