105205663430 has 16 divisors (see below), whose sum is σ = 216423079200. Its totient is φ = 36070513152.

The previous prime is 105205663373. The next prime is 105205663469. The reversal of 105205663430 is 34366502501.

It is a super-2 number, since 2×105205663430² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751468955 + ... + 751469094.

It is an arithmetic number, because the mean of its divisors is an integer number (13526442450).

Almost surely, 2^105205663430 is an apocalyptic number.

105205663430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105205663430 is an abundant number, since it is smaller than the sum of its proper divisors (111217415770).

105205663430 is a wasteful number, since it uses less digits than its factorization.

105205663430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502938063.

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 105205663430 in words is "one hundred five billion, two hundred five million, six hundred sixty-three thousand, four hundred thirty".