100781600 has 72 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 40075520.

The previous prime is 100781581. The next prime is 100781609. The reversal of 100781600 is 6187001.

It is not an unprimeable number, because it can be changed into a prime (100781609) 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, 210161 + ... + 210639.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^100781600 is an apocalyptic number.

100781600 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 100781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

100781600 is an abundant number, since it is smaller than the sum of its proper divisors (146702560).

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

100781600 is a wasteful number, since it uses less digits than its factorization.

100781600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 100781600 is about 10039.0039346541. The cubic root of 100781600 is about 465.3650349819.

The spelling of 100781600 in words is "one hundred million, seven hundred eighty-one thousand, six hundred".