105119016 has 64 divisors (see below), whose sum is σ = 283115520. Its totient is φ = 32429760.

The previous prime is 105118999. The next prime is 105119017. The reversal of 105119016 is 610911501.

It is a super-2 number, since 2×105119016² = 22100015049616512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105119017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14041 + ... + 20183.

It is an arithmetic number, because the mean of its divisors is an integer number (4423680).

Almost surely, 2^105119016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105119016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141557760).

105119016 is an abundant number, since it is smaller than the sum of its proper divisors (177996504).

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

105119016 is a wasteful number, since it uses less digits than its factorization.

105119016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 24.

The square root of 105119016 is about 10252.7565073984. The cubic root of 105119016 is about 471.9475786846.

The spelling of 105119016 in words is "one hundred five million, one hundred nineteen thousand, sixteen".