105050616 has 128 divisors (see below), whose sum is σ = 307929600. Its totient is φ = 29511680.

The previous prime is 105050609. The next prime is 105050623. The reversal of 105050616 is 616050501.

It is an interprime number because it is at equal distance from previous prime (105050609) and next prime (105050623).

It is a super-2 number, since 2×105050616² = 22071263843958912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399301 + ... + 399563.

It is an arithmetic number, because the mean of its divisors is an integer number (2405700).

Almost surely, 2^105050616 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 105050616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153964800).

105050616 is an abundant number, since it is smaller than the sum of its proper divisors (202878984).

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

105050616 is a wasteful number, since it uses less digits than its factorization.

105050616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105050616 is about 10249.4202762888. The cubic root of 105050616 is about 471.8451924566.

The spelling of 105050616 in words is "one hundred five million, fifty thousand, six hundred sixteen".