107101013 has 8 divisors (see below), whose sum is σ = 108223128. Its totient is φ = 105985024.

The previous prime is 107100953. The next prime is 107101019. The reversal of 107101013 is 310101701.

It can be written as a sum of positive squares in 4 ways, for example, as 29343889 + 77757124 = 5417^2 + 8818^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107101013 - 2¹² = 107096917 is a prime.

It is a super-2 number, since 2×107101013² = 22941253971252338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107101019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38981 + ... + 41637.

It is an arithmetic number, because the mean of its divisors is an integer number (13527891).

Almost surely, 2^107101013 is an apocalyptic number.

It is an amenable number.

107101013 is a deficient number, since it is larger than the sum of its proper divisors (1122115).

107101013 is a wasteful number, since it uses less digits than its factorization.

107101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063.

The product of its (nonzero) digits is 21, while the sum is 14.

The square root of 107101013 is about 10348.9619286187. The cubic root of 107101013 is about 474.8952869825.

Adding to 107101013 its reverse (310101701), we get a palindrome (417202714).

The spelling of 107101013 in words is "one hundred seven million, one hundred one thousand, thirteen".