105977931430 has 16 divisors (see below), whose sum is σ = 218011744800. Its totient is φ = 36335290752.

The previous prime is 105977931403. The next prime is 105977931431. The reversal of 105977931430 is 34139779501.

It is a super-2 number, since 2×105977931430² (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 (105977931431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 756985155 + ... + 756985294.

It is an arithmetic number, because the mean of its divisors is an integer number (13625734050).

Almost surely, 2^105977931430 is an apocalyptic number.

105977931430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105977931430 is an abundant number, since it is smaller than the sum of its proper divisors (112033813370).

105977931430 is a wasteful number, since it uses less digits than its factorization.

105977931430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513970463.

The product of its (nonzero) digits is 714420, while the sum is 49.

The spelling of 105977931430 in words is "one hundred five billion, nine hundred seventy-seven million, nine hundred thirty-one thousand, four hundred thirty".