101612052 has 18 divisors (see below), whose sum is σ = 256852778. Its totient is φ = 33870672.

The previous prime is 101612051. The next prime is 101612083. The reversal of 101612052 is 250216101.

101612052 is a `hidden beast` number, since 1 + 0 + 1 + 612 + 0 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53670276 + 47941776 = 7326^2 + 6924^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×101612052² = 20650018223301408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101612051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1411243 + ... + 1411314.

Almost surely, 2^101612052 is an apocalyptic number.

101612052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101612052 is an abundant number, since it is smaller than the sum of its proper divisors (155240726).

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

101612052 is a wasteful number, since it uses less digits than its factorization.

101612052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822567 (or 2822562 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101612052 is about 10080.2803532441. The cubic root of 101612052 is about 466.6397605803.

Adding to 101612052 its reverse (250216101), we get a palindrome (351828153).

The spelling of 101612052 in words is "one hundred one million, six hundred twelve thousand, fifty-two".