105142824 has 144 divisors (see below), whose sum is σ = 314171520. Its totient is φ = 31726080.

The previous prime is 105142811. The next prime is 105142837. The reversal of 105142824 is 428241501.

It is an interprime number because it is at equal distance from previous prime (105142811) and next prime (105142837).

It is a super-2 number, since 2×105142824² = 22110026877389952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 644967 + ... + 645129.

Almost surely, 2^105142824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105142824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157085760).

105142824 is an abundant number, since it is smaller than the sum of its proper divisors (209028696).

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

105142824 is a wasteful number, since it uses less digits than its factorization.

105142824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 105142824 is about 10253.9174952795. The cubic root of 105142824 is about 471.9832058565.

The spelling of 105142824 in words is "one hundred five million, one hundred forty-two thousand, eight hundred twenty-four".