101337714 has 72 divisors (see below), whose sum is σ = 239009940. Its totient is φ = 30919680.

The previous prime is 101337707. The next prime is 101337727. The reversal of 101337714 is 417733101.

It can be written as a sum of positive squares in 6 ways, for example, as 2673225 + 98664489 = 1635^2 + 9933^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1138582 + ... + 1138670.

Almost surely, 2^101337714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101337714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119504970).

101337714 is an abundant number, since it is smaller than the sum of its proper divisors (137672226).

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

101337714 is a wasteful number, since it uses less digits than its factorization.

101337714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 101337714 is about 10066.6634988957. The cubic root of 101337714 is about 466.2194285480.

The spelling of 101337714 in words is "one hundred one million, three hundred thirty-seven thousand, seven hundred fourteen".