100783152 has 60 divisors (see below), whose sum is σ = 283550800. Its totient is φ = 33416064.

The previous prime is 100783127. The next prime is 100783159. The reversal of 100783152 is 251387001.

It is not an unprimeable number, because it can be changed into a prime (100783159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26898 + ... + 30414.

Almost surely, 2^100783152 is an apocalyptic number.

100783152 is a gapful number since it is divisible by the number (12) 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 100783152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141775400).

100783152 is an abundant number, since it is smaller than the sum of its proper divisors (182767648).

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

100783152 is a wasteful number, since it uses less digits than its factorization.

100783152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 100783152 is about 10039.0812328619. The cubic root of 100783152 is about 465.3674237870.

The spelling of 100783152 in words is "one hundred million, seven hundred eighty-three thousand, one hundred fifty-two".