102153113322516 has 18 divisors (see below), whose sum is σ = 258220369787562. Its totient is φ = 34051037774160.

The previous prime is 102153113322503. The next prime is 102153113322599. The reversal of 102153113322516 is 615223311351201.

It is a happy number.

102153113322516 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 5 + 3 + 1 + 133 + 2 + 2 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66959197779600 + 35193915542916 = 8182860^2 + 5932446^2 .

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

It is a super-2 number, since 2×102153113322516² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2837586481181 = 102153113322516 / (1 + 0 + 2 + 1 + 5 + 3 + 1 + 1 + 3 + 3 + 2 + 2 + 5 + 1 + 6).

It is a congruent number.

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, 1418793240555 + ... + 1418793240626.

It is an arithmetic number, because the mean of its divisors is an integer number (14345576099309).

Almost surely, 2^{102153113322516} is an apocalyptic number.

It is an amenable number.

102153113322516 is an abundant number, since it is smaller than the sum of its proper divisors (156067256465046).

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

102153113322516 is a wasteful number, since it uses less digits than its factorization.

102153113322516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837586481191 (or 2837586481186 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 102153113322516 its reverse (615223311351201), we get a palindrome (717376424673717).

The spelling of 102153113322516 in words is "one hundred two trillion, one hundred fifty-three billion, one hundred thirteen million, three hundred twenty-two thousand, five hundred sixteen".