101053680 has 240 divisors, whose sum is σ = 393037344. Its totient is φ = 21288960.

The previous prime is 101053679. The next prime is 101053691. The reversal of 101053680 is 86350101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101053680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152550 + ... + 153210.

Almost surely, 2^101053680 is an apocalyptic number.

101053680 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 101053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196518672).

101053680 is an abundant number, since it is smaller than the sum of its proper divisors (291983664).

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

101053680 is a wasteful number, since it uses less digits than its factorization.

101053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 101053680 is about 10052.5459461770. The cubic root of 101053680 is about 465.7834405477.

The spelling of 101053680 in words is "one hundred one million, fifty-three thousand, six hundred eighty".