100781460 has 108 divisors (see below), whose sum is σ = 331128252. Its totient is φ = 24800256.

The previous prime is 100781459. The next prime is 100781497. The reversal of 100781460 is 64187001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4309776 + 96471684 = 2076^2 + 9822^2 .

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 35 ways as a sum of consecutive naturals, for example, 28764 + ... + 32076.

Almost surely, 2^100781460 is an apocalyptic number.

100781460 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 100781460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165564126).

100781460 is an abundant number, since it is smaller than the sum of its proper divisors (230346792).

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

100781460 is a wasteful number, since it uses less digits than its factorization.

100781460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3336 counting only the distinct ones).

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

The square root of 100781460 is about 10038.9969618483. The cubic root of 100781460 is about 465.3648194957.

The spelling of 100781460 in words is "one hundred million, seven hundred eighty-one thousand, four hundred sixty".