105692185214 has 48 divisors (see below), whose sum is σ = 202420565088. Its totient is φ = 40503672000.

The previous prime is 105692185211. The next prime is 105692185243. The reversal of 105692185214 is 412581296501.

It is a super-2 number, since 2×105692185214² (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105692185211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408077 + ... + 614744.

It is an arithmetic number, because the mean of its divisors is an integer number (4217095106).

Almost surely, 2^105692185214 is an apocalyptic number.

105692185214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105692185214 is a deficient number, since it is larger than the sum of its proper divisors (96728379874).

105692185214 is a wasteful number, since it uses less digits than its factorization.

105692185214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022913 (or 1022902 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 44.

The spelling of 105692185214 in words is "one hundred five billion, six hundred ninety-two million, one hundred eighty-five thousand, two hundred fourteen".