101287296 has 96 divisors (see below), whose sum is σ = 318001320. Its totient is φ = 30689280.

The previous prime is 101287283. The next prime is 101287301. The reversal of 101287296 is 692782101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101287296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8676 + ... + 16668.

Almost surely, 2^101287296 is an apocalyptic number.

101287296 is a gapful number since it is divisible by the number (16) 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 101287296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159000660).

101287296 is an abundant number, since it is smaller than the sum of its proper divisors (216714024).

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

101287296 is a wasteful number, since it uses less digits than its factorization.

101287296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8024 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 101287296 is about 10064.1589812562. The cubic root of 101287296 is about 466.1420971855.

It can be divided in two parts, 10128 and 7296, that added together give a square (17424 = 132²).

The spelling of 101287296 in words is "one hundred one million, two hundred eighty-seven thousand, two hundred ninety-six".