105954030 has 192 divisors, whose sum is σ = 359468928. Its totient is φ = 21012480.

The previous prime is 105953999. The next prime is 105954053. The reversal of 105954030 is 30459501.

105954030 is a `hidden beast` number, since 1 + 0 + 595 + 40 + 30 = 666.

It is a super-2 number, since 2×105954030² = 22452512946481800, 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 = 105953985 and 105954003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138850 + ... + 139610.

It is an arithmetic number, because the mean of its divisors is an integer number (1872234).

Almost surely, 2^105954030 is an apocalyptic number.

105954030 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 105954030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464).

105954030 is an abundant number, since it is smaller than the sum of its proper divisors (253514898).

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

105954030 is a wasteful number, since it uses less digits than its factorization.

105954030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105954030 is about 10293.3973983326. The cubic root of 105954030 is about 473.1939245378.

The spelling of 105954030 in words is "one hundred five million, nine hundred fifty-four thousand, thirty".