105414230000 has 50 divisors (see below), whose sum is σ = 255218416464. Its totient is φ = 42165688000.

The previous prime is 105414229967. The next prime is 105414230083. The reversal of 105414230000 is 32414501.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×105414230000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5260712 + ... + 5280711.

Almost surely, 2^105414230000 is an apocalyptic number.

105414230000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105414230000 is an abundant number, since it is smaller than the sum of its proper divisors (149804186464).

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

105414230000 is an equidigital number, since it uses as much as digits as its factorization.

105414230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10541451 (or 10541430 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 105414230000 its reverse (32414501), we get a palindrome (105446644501).

The spelling of 105414230000 in words is "one hundred five billion, four hundred fourteen million, two hundred thirty thousand".