105077630 has 32 divisors (see below), whose sum is σ = 217757376. Its totient is φ = 35760384.

The previous prime is 105077597. The next prime is 105077647. The reversal of 105077630 is 36770501.

It is a super-2 number, since 2×105077630² = 22082616652833800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105077593 and 105077602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4112 + ... + 15068.

It is an arithmetic number, because the mean of its divisors is an integer number (6804918).

Almost surely, 2^105077630 is an apocalyptic number.

105077630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105077630 is an abundant number, since it is smaller than the sum of its proper divisors (112679746).

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

105077630 is a wasteful number, since it uses less digits than its factorization.

105077630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11108.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 105077630 is about 10250.7380222109. The cubic root of 105077630 is about 471.8856343378.

The spelling of 105077630 in words is "one hundred five million, seventy-seven thousand, six hundred thirty".