106052156244 has 36 divisors (see below), whose sum is σ = 283845478644. Its totient is φ = 33271264512.

The previous prime is 106052156233. The next prime is 106052156257. The reversal of 106052156244 is 442651250601.

106052156244 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 5 + 21 + 5 + 624 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34529072400 + 71523083844 = 185820^2 + 267438^2 .

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

It is a super-2 number, since 2×106052156244² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106052156199 and 106052156208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86643307 + ... + 86644530.

It is an arithmetic number, because the mean of its divisors is an integer number (7884596629).

Almost surely, 2^106052156244 is an apocalyptic number.

It is an amenable number.

106052156244 is an abundant number, since it is smaller than the sum of its proper divisors (177793322400).

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

106052156244 is a wasteful number, since it uses less digits than its factorization.

106052156244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173287864 (or 173287859 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 1060521 and 56244, that added together give a triangular number (1116765 = T₁₄₉₄).

The spelling of 106052156244 in words is "one hundred six billion, fifty-two million, one hundred fifty-six thousand, two hundred forty-four".