101029860 has 36 divisors (see below), whose sum is σ = 306457788. Its totient is φ = 26941248.

The previous prime is 101029843. The next prime is 101029867. The reversal of 101029860 is 68920101.

It can be written as a sum of positive squares in 2 ways, for example, as 72897444 + 28132416 = 8538^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101029860² = 20414065223239200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101029867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280459 + ... + 280818.

Almost surely, 2^101029860 is an apocalyptic number.

101029860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101029860 is an abundant number, since it is smaller than the sum of its proper divisors (205427928).

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

101029860 is a wasteful number, since it uses less digits than its factorization.

101029860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561292 (or 561287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101029860 is about 10051.3611018608. The cubic root of 101029860 is about 465.7468400881.

Adding to 101029860 its reverse (68920101), we get a palindrome (169949961).

The spelling of 101029860 in words is "one hundred one million, twenty-nine thousand, eight hundred sixty".