101487312 has 90 divisors (see below), whose sum is σ = 290162418. Its totient is φ = 33111936.

The previous prime is 101487311. The next prime is 101487343. The reversal of 101487312 is 213784101.

It can be written as a sum of positive squares in only one way, i.e., 78216336 + 23270976 = 8844^2 + 4824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101487311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 646338 + ... + 646494.

Almost surely, 2^101487312 is an apocalyptic number.

101487312 is a gapful number since it is divisible by the number (12) 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 101487312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145081209).

101487312 is an abundant number, since it is smaller than the sum of its proper divisors (188675106).

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

101487312 is a wasteful number, since it uses less digits than its factorization.

101487312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 229 counting only the distinct ones).

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

The square root of 101487312 is about 10074.0911252579. The cubic root of 101487312 is about 466.4487317996.

The spelling of 101487312 in words is "one hundred one million, four hundred eighty-seven thousand, three hundred twelve".