105402465301600 has 36 divisors (see below), whose sum is σ = 257313768419484. Its totient is φ = 42160986120320.

The previous prime is 105402465301489. The next prime is 105402465301633. The reversal of 105402465301600 is 6103564204501.

It is a super-2 number, since 2×105402465301600² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105402465301600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65876540014 + ... + 65876541613.

It is an arithmetic number, because the mean of its divisors is an integer number (7147604678319).

Almost surely, 2^{105402465301600} is an apocalyptic number.

105402465301600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105402465301600 is an abundant number, since it is smaller than the sum of its proper divisors (151911303117884).

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

105402465301600 is a wasteful number, since it uses less digits than its factorization.

105402465301600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131753081647 (or 131753081634 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 105402465301600 in words is "one hundred five trillion, four hundred two billion, four hundred sixty-five million, three hundred one thousand, six hundred".