105377064 has 96 divisors (see below), whose sum is σ = 292054560. Its totient is φ = 31489920.

The previous prime is 105376969. The next prime is 105377071. The reversal of 105377064 is 460773501.

It is a super-2 number, since 2×105377064² = 22208651234520192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1484149 + ... + 1484219.

It is an arithmetic number, because the mean of its divisors is an integer number (3042235).

Almost surely, 2^105377064 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 105377064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146027280).

105377064 is an abundant number, since it is smaller than the sum of its proper divisors (186677496).

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

105377064 is a wasteful number, since it uses less digits than its factorization.

105377064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 105377064 is about 10265.3331168550. Note that the first 3 decimals coincide. The cubic root of 105377064 is about 472.3334448379. Note that the first 3 decimals are identical.

The spelling of 105377064 in words is "one hundred five million, three hundred seventy-seven thousand, sixty-four".