101293296 has 80 divisors (see below), whose sum is σ = 283315200. Its totient is φ = 31000320.

The previous prime is 101293289. The next prime is 101293301. The reversal of 101293296 is 692392101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168805 + ... + 169403.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2^101293296 is an apocalyptic number.

101293296 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 101293296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141657600).

101293296 is an abundant number, since it is smaller than the sum of its proper divisors (182021904).

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

101293296 is a wasteful number, since it uses less digits than its factorization.

101293296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 101293296 is about 10064.4570643428. The cubic root of 101293296 is about 466.1513013584.

The spelling of 101293296 in words is "one hundred one million, two hundred ninety-three thousand, two hundred ninety-six".