107019 has 24 divisors (see below), whose sum is σ = 179712. Its totient is φ = 60720.

The previous prime is 106993. The next prime is 107021. The reversal of 107019 is 910701.

107019 = T₃₄ + T₃₅ + ... + T₈₇.

It is not a de Polignac number, because 107019 - 2¹¹ = 104971 is a prime.

It is a super-2 number, since 2×107019² = 22906132722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106992 and 107010.

It is not an unprimeable number, because it can be changed into a prime (107069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2254 + ... + 2300.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

2¹⁰⁷⁰¹⁹ is an apocalyptic number.

107019 is a deficient number, since it is larger than the sum of its proper divisors (72693).

107019 is a wasteful number, since it uses less digits than its factorization.

107019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 107019 is about 327.1375857342. The cubic root of 107019 is about 47.4774038416.

It can be divided in two parts, 1070 and 19, that added together give a square (1089 = 33²).

The spelling of 107019 in words is "one hundred seven thousand, nineteen".