105369485400 has 72 divisors (see below), whose sum is σ = 353865861180. Its totient is φ = 28098528960.

The previous prime is 105369485387. The next prime is 105369485413. The reversal of 105369485400 is 4584963501.

105369485400 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 69 + 48 + 540 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105369485387) and next prime (105369485413).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105369485400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29267502 + ... + 29271101.

Almost surely, 2^105369485400 is an apocalyptic number.

105369485400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105369485400 is an abundant number, since it is smaller than the sum of its proper divisors (248496375780).

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

105369485400 is a wasteful number, since it uses less digits than its factorization.

105369485400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58538625 (or 58538613 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 105369485400 in words is "one hundred five billion, three hundred sixty-nine million, four hundred eighty-five thousand, four hundred".