105121630 has 16 divisors (see below), whose sum is σ = 189702720. Its totient is φ = 41941152.

The previous prime is 105121619. The next prime is 105121633. The reversal of 105121630 is 36121501.

It is a super-2 number, since 2×105121630² = 22101114187713800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105121598 and 105121607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105121633) 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, 9270 + ... + 17209.

It is an arithmetic number, because the mean of its divisors is an integer number (11856420).

Almost surely, 2^105121630 is an apocalyptic number.

105121630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105121630 is a deficient number, since it is larger than the sum of its proper divisors (84581090).

105121630 is a wasteful number, since it uses less digits than its factorization.

105121630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26883.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105121630 is about 10252.8839845187. The cubic root of 105121630 is about 471.9514906337.

The spelling of 105121630 in words is "one hundred five million, one hundred twenty-one thousand, six hundred thirty".