105355263420 has 144 divisors (see below), whose sum is σ = 352082596320. Its totient is φ = 25287744000.

The previous prime is 105355263413. The next prime is 105355263437. The reversal of 105355263420 is 24362553501.

105355263420 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 552 + 63 + 42 + 0 = 666.

It is a super-2 number, since 2×105355263420² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 63435 + ... + 463394.

It is an arithmetic number, because the mean of its divisors is an integer number (2445018030).

Almost surely, 2^105355263420 is an apocalyptic number.

105355263420 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 105355263420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176041298160).

105355263420 is an abundant number, since it is smaller than the sum of its proper divisors (246727332900).

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

105355263420 is a wasteful number, since it uses less digits than its factorization.

105355263420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526956 (or 526951 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 105355263420 in words is "one hundred five billion, three hundred fifty-five million, two hundred sixty-three thousand, four hundred twenty".