101284096 has 81 divisors (see below), whose sum is σ = 220725939. Its totient is φ = 46374912.

The previous prime is 101284093. The next prime is 101284129. The reversal of 101284096 is 690482101.

101284096 = T₂₇₉ + T₂₈₀ + ... + T₈₅₆.

It is a happy number.

The square root of 101284096 is 10064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 47114496 + 54169600 = 6864^2 + 7360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101284093) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2737390 + ... + 2737426.

Almost surely, 2^101284096 is an apocalyptic number.

101284096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101284096 is the 10064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101284096

101284096 is an abundant number, since it is smaller than the sum of its proper divisors (119441843).

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

101284096 is an frugal number, since it uses more digits than its factorization.

101284096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 101284096 is about 466.1371881447.

The spelling of 101284096 in words is "one hundred one million, two hundred eighty-four thousand, ninety-six".