105077270030400 has 252 divisors, whose sum is σ = 373479041591604. Its totient is φ = 28019884032000.

The previous prime is 105077270030351. The next prime is 105077270030419. The reversal of 105077270030400 is 4030072770501.

105077270030400 is a `hidden beast` number, since 10 + 5 + 0 + 77 + 270 + 0 + 304 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18250804233216 + 86826465797184 = 4272096^2 + 9318072^2 .

It is a super-2 number, since 2×105077270030400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 790219920 + ... + 790352880.

Almost surely, 2^{105077270030400} is an apocalyptic number.

105077270030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105077270030400 is an abundant number, since it is smaller than the sum of its proper divisors (268401771561204).

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

105077270030400 is a wasteful number, since it uses less digits than its factorization.

105077270030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187870 (or 187852 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 105077270030400 in words is "one hundred five trillion, seventy-seven billion, two hundred seventy million, thirty thousand, four hundred".