102107019162204 has 720 divisors, whose sum is σ = 352064125163520. Its totient is φ = 25583499406080.

The previous prime is 102107019162199. The next prime is 102107019162217. The reversal of 102107019162204 is 402261910701201.

102107019162204 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 7 + 0 + 19 + 1 + 622 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 214834794 + ... + 215309550.

It is an arithmetic number, because the mean of its divisors is an integer number (488977951616).

Almost surely, 2^{102107019162204} is an apocalyptic number.

102107019162204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102107019162204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176032062581760).

102107019162204 is an abundant number, since it is smaller than the sum of its proper divisors (249957106001316).

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

102107019162204 is a wasteful number, since it uses less digits than its factorization.

102107019162204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474860 (or 474842 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 102107019162204 its reverse (402261910701201), we get a palindrome (504368929863405).

The spelling of 102107019162204 in words is "one hundred two trillion, one hundred seven billion, nineteen million, one hundred sixty-two thousand, two hundred four".