101124 has 27 divisors (see below), whose sum is σ = 260533. Its totient is φ = 33072.

The previous prime is 101119. The next prime is 101141. The reversal of 101124 is 421101.

101124 = T_{317} + T_{318}.

It is a happy number.

The square root of 101124 is 318.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 28224 = 270^2 + 168^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1882 + ... + 1934.

2^{101124} is an apocalyptic number.

101124 is the 318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101124

101124 is an abundant number, since it is smaller than the sum of its proper divisors (159409).

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

101124 is a wasteful number, since it uses less digits than its factorization.

101124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The cubic root of 101124 is about 46.5891456726.

Adding to 101124 its reverse (421101), we get a palindrome (522225).

It can be divided in two parts, 1011 and 24, that added together give a triangular number (1035 = T_{45}).

The spelling of 101124 in words is "one hundred one thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2809 5618 8427 11236 16854 25281 33708 50562 101124

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