100782612 has 216 divisors, whose sum is σ = 325328640. Its totient is φ = 26127360.

The previous prime is 100782611. The next prime is 100782629. The reversal of 100782612 is 216287001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100782611) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1038948 + ... + 1039044.

Almost surely, 2^100782612 is an apocalyptic number.

100782612 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 100782612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162664320).

100782612 is an abundant number, since it is smaller than the sum of its proper divisors (224546028).

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

100782612 is a wasteful number, since it uses less digits than its factorization.

100782612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100782612 is about 10039.0543379344. The cubic root of 100782612 is about 465.3665926334.

The spelling of 100782612 in words is "one hundred million, seven hundred eighty-two thousand, six hundred twelve".