105212640 has 144 divisors (see below), whose sum is σ = 359151408. Its totient is φ = 25878528.

The previous prime is 105212629. The next prime is 105212641. The reversal of 105212640 is 46212501.

It is a super-2 number, since 2×105212640² = 22139399231539200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105212641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80472 + ... + 81768.

It is an arithmetic number, because the mean of its divisors is an integer number (2494107).

Almost surely, 2^105212640 is an apocalyptic number.

105212640 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 105212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179575704).

105212640 is an abundant number, since it is smaller than the sum of its proper divisors (253938768).

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

105212640 is a wasteful number, since it uses less digits than its factorization.

105212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105212640 is about 10257.3212877437. The cubic root of 105212640 is about 472.0876501018.

The spelling of 105212640 in words is "one hundred five million, two hundred twelve thousand, six hundred forty".