100627778160 has 1440 divisors, whose sum is σ = 447676489728. Its totient is φ = 19797073920.

The previous prime is 100627778087. The next prime is 100627778201. The reversal of 100627778160 is 61877726001.

100627778160 is a `hidden beast` number, since 1 + 0 + 0 + 627 + 7 + 7 + 8 + 16 + 0 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 976968669 + ... + 976968771.

Almost surely, 2^100627778160 is an apocalyptic number.

100627778160 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 100627778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223838244864).

100627778160 is an abundant number, since it is smaller than the sum of its proper divisors (347048711568).

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

100627778160 is a wasteful number, since it uses less digits than its factorization.

100627778160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 100627778160 in words is "one hundred billion, six hundred twenty-seven million, seven hundred seventy-eight thousand, one hundred sixty".