105007764 has 24 divisors (see below), whose sum is σ = 245767648. Its totient is φ = 34895520.

The previous prime is 105007751. The next prime is 105007769. The reversal of 105007764 is 467700501.

It is a happy number.

It is a super-2 number, since 2×105007764² = 22053261000559392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105007769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9247 + ... + 17190.

Almost surely, 2^105007764 is an apocalyptic number.

It is an amenable number.

105007764 is an abundant number, since it is smaller than the sum of its proper divisors (140759884).

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

105007764 is a wasteful number, since it uses less digits than its factorization.

105007764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26775 (or 26773 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 105007764 is about 10247.3296033650. The cubic root of 105007764 is about 471.7810257375.

The spelling of 105007764 in words is "one hundred five million, seven thousand, seven hundred sixty-four".