105050764 has 48 divisors (see below), whose sum is σ = 227598336. Its totient is φ = 41313600.

The previous prime is 105050761. The next prime is 105050801. The reversal of 105050764 is 467050501.

It is a super-2 number, since 2×105050764² = 22071326033967392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (105050761) 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, 68769 + ... + 70279.

It is an arithmetic number, because the mean of its divisors is an integer number (4741632).

Almost surely, 2^105050764 is an apocalyptic number.

105050764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105050764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168).

105050764 is an abundant number, since it is smaller than the sum of its proper divisors (122547572).

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

105050764 is a wasteful number, since it uses less digits than its factorization.

105050764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 105050764 is about 10249.4274962068. The cubic root of 105050764 is about 471.8454140420.

The spelling of 105050764 in words is "one hundred five million, fifty thousand, seven hundred sixty-four".