100051064774280 has 512 divisors, whose sum is σ = 338177064960000. Its totient is φ = 26309258680320.

The previous prime is 100051064774279. The next prime is 100051064774383. The reversal of 100051064774280 is 82477460150001.

100051064774280 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 510 + 6 + 47 + 74 + 28 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43862806740 + ... + 43862809020.

It is an arithmetic number, because the mean of its divisors is an integer number (660502080000).

Almost surely, 2^{100051064774280} is an apocalyptic number.

100051064774280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100051064774280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169088532480000).

100051064774280 is an abundant number, since it is smaller than the sum of its proper divisors (238126000185720).

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

100051064774280 is a wasteful number, since it uses less digits than its factorization.

100051064774280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 100051064774280 in words is "one hundred trillion, fifty-one billion, sixty-four million, seven hundred seventy-four thousand, two hundred eighty".