100745856 has 192 divisors, whose sum is σ = 311875200. Its totient is φ = 32348160.

The previous prime is 100745851. The next prime is 100745881. The reversal of 100745856 is 658547001.

100745856 is a `hidden beast` number, since 1 + 0 + 0 + 74 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100745856.

It is not an unprimeable number, because it can be changed into a prime (100745851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1275225 + ... + 1275303.

It is an arithmetic number, because the mean of its divisors is an integer number (1624350).

Almost surely, 2^100745856 is an apocalyptic number.

100745856 is a gapful number since it is divisible by the number (16) 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 100745856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155937600).

100745856 is an abundant number, since it is smaller than the sum of its proper divisors (211129344).

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

100745856 is an frugal number, since it uses more digits than its factorization.

100745856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 100745856 is about 10037.2235204762. The cubic root of 100745856 is about 465.3100117940.

The spelling of 100745856 in words is "one hundred million, seven hundred forty-five thousand, eight hundred fifty-six".