105726630 has 64 divisors (see below), whose sum is σ = 268531200. Its totient is φ = 26585856.

The previous prime is 105726629. The next prime is 105726667. The reversal of 105726630 is 36627501.

It is a super-2 number, since 2×105726630² = 22356240582313800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49321 + ... + 51419.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 2^105726630 is an apocalyptic number.

105726630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105726630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

105726630 is an abundant number, since it is smaller than the sum of its proper divisors (162804570).

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

105726630 is a wasteful number, since it uses less digits than its factorization.

105726630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 105726630 is about 10282.3455495329. The cubic root of 105726630 is about 472.8551569579.

The spelling of 105726630 in words is "one hundred five million, seven hundred twenty-six thousand, six hundred thirty".