105402084700 has 36 divisors (see below), whose sum is σ = 249515483112. Its totient is φ = 38328030400.

The previous prime is 105402084617. The next prime is 105402084713. The reversal of 105402084700 is 7480204501.

105402084700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105402084700² (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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47908939 + ... + 47911138.

It is an arithmetic number, because the mean of its divisors is an integer number (6930985642).

Almost surely, 2^105402084700 is an apocalyptic number.

105402084700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105402084700 is an abundant number, since it is smaller than the sum of its proper divisors (144113398412).

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

105402084700 is a wasteful number, since it uses less digits than its factorization.

105402084700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95820102 (or 95820095 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 105402084700 in words is "one hundred five billion, four hundred two million, eighty-four thousand, seven hundred".