105461640 has 96 divisors (see below), whose sum is σ = 347532120. Its totient is φ = 27730944.

The previous prime is 105461627. The next prime is 105461687. The reversal of 105461640 is 46164501.

105461640 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 616 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99321156 + 6140484 = 9966^2 + 2478^2 .

It is a super-2 number, since 2×105461640² = 22244315022979200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24274 + ... + 28286.

Almost surely, 2^105461640 is an apocalyptic number.

105461640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105461640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173766060).

105461640 is an abundant number, since it is smaller than the sum of its proper divisors (242070480).

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

105461640 is a wasteful number, since it uses less digits than its factorization.

105461640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105461640 is about 10269.4517867314. The cubic root of 105461640 is about 472.4597765373.

The spelling of 105461640 in words is "one hundred five million, four hundred sixty-one thousand, six hundred forty".