30105870161400 has 288 divisors, whose sum is σ = 114382035331200. Its totient is φ = 7298392636800.

The previous prime is 30105870161359. The next prime is 30105870161417. The reversal of 30105870161400 is 416107850103.

30105870161400 is a `hidden beast` number, since 3 + 0 + 10 + 5 + 87 + 0 + 161 + 400 = 666.

It is a super-3 number, since 3×30105870161400³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 27622780 + ... + 28691979.

It is an arithmetic number, because the mean of its divisors is an integer number (397159844900).

Almost surely, 2^{30105870161400} is an apocalyptic number.

30105870161400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30105870161400 is an abundant number, since it is smaller than the sum of its proper divisors (84276165169800).

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

30105870161400 is a wasteful number, since it uses less digits than its factorization.

30105870161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56314801 (or 56314780 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 30105870161400 in words is "thirty trillion, one hundred five billion, eight hundred seventy million, one hundred sixty-one thousand, four hundred".