105401146014 has 96 divisors (see below), whose sum is σ = 236716421760. Its totient is φ = 33868207296.

The previous prime is 105401146007. The next prime is 105401146069. The reversal of 105401146014 is 410641104501.

105401146014 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 1 + 14 + 601 + 4 = 666.

It is a super-2 number, since 2×105401146014² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 63227209 + ... + 63228875.

It is an arithmetic number, because the mean of its divisors is an integer number (2465796060).

Almost surely, 2^105401146014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105401146014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118358210880).

105401146014 is an abundant number, since it is smaller than the sum of its proper divisors (131315275746).

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

105401146014 is a wasteful number, since it uses less digits than its factorization.

105401146014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 105401146014 in words is "one hundred five billion, four hundred one million, one hundred forty-six thousand, fourteen".