105400366464 has 64 divisors (see below), whose sum is σ = 280214138880. Its totient is φ = 35102784000.

The previous prime is 105400366403. The next prime is 105400366481. The reversal of 105400366464 is 464663004501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105400366464² (a number of 23 digits) contains 22 as substring.

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, 322749 + ... + 561219.

It is an arithmetic number, because the mean of its divisors is an integer number (4378345920).

Almost surely, 2^105400366464 is an apocalyptic number.

It is an amenable number.

105400366464 is an abundant number, since it is smaller than the sum of its proper divisors (174813772416).

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

105400366464 is a wasteful number, since it uses less digits than its factorization.

105400366464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239639 (or 239627 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 105400366464 in words is "one hundred five billion, four hundred million, three hundred sixty-six thousand, four hundred sixty-four".