100745152 has 56 divisors (see below), whose sum is σ = 211226400. Its totient is φ = 47579136.

The previous prime is 100745149. The next prime is 100745167. The reversal of 100745152 is 251547001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130624 + ... + 131392.

It is an arithmetic number, because the mean of its divisors is an integer number (3771900).

Almost surely, 2^100745152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105613200).

100745152 is an abundant number, since it is smaller than the sum of its proper divisors (110481248).

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

100745152 is an equidigital number, since it uses as much as digits as its factorization.

100745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 100745152 is about 10037.1884509558. The cubic root of 100745152 is about 465.3089279479.

The spelling of 100745152 in words is "one hundred million, seven hundred forty-five thousand, one hundred fifty-two".