102106012272 has 320 divisors, whose sum is σ = 310197288960. Its totient is φ = 28598169600.

The previous prime is 102106012259. The next prime is 102106012303. The reversal of 102106012272 is 272210601201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220531113 + ... + 220531575.

It is an arithmetic number, because the mean of its divisors is an integer number (969366528).

Almost surely, 2^102106012272 is an apocalyptic number.

102106012272 is a gapful number since it is divisible by the number (12) 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 102106012272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155098644480).

102106012272 is an abundant number, since it is smaller than the sum of its proper divisors (208091276688).

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

102106012272 is a wasteful number, since it uses less digits than its factorization.

102106012272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 102106012272 its reverse (272210601201), we get a palindrome (374316613473).

The spelling of 102106012272 in words is "one hundred two billion, one hundred six million, twelve thousand, two hundred seventy-two".