101024144 has 30 divisors (see below), whose sum is σ = 211954626. Its totient is φ = 46625280.

The previous prime is 101024137. The next prime is 101024153. The reversal of 101024144 is 441420101.

It can be written as a sum of positive squares in 3 ways, for example, as 1024144 + 100000000 = 1012^2 + 10000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15977 + ... + 21384.

Almost surely, 2^101024144 is an apocalyptic number.

It is an amenable number.

101024144 is an abundant number, since it is smaller than the sum of its proper divisors (110930482).

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

101024144 is a wasteful number, since it uses less digits than its factorization.

101024144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37395 (or 37376 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 101024144 is about 10051.0767582384. The cubic root of 101024144 is about 465.7380563511.

Adding to 101024144 its reverse (441420101), we get a palindrome (542444245).

The spelling of 101024144 in words is "one hundred one million, twenty-four thousand, one hundred forty-four".