102006912 has 128 divisors (see below), whose sum is σ = 313050240. Its totient is φ = 28827648.

The previous prime is 102006911. The next prime is 102006913. The reversal of 102006912 is 219600201.

It is an interprime number because it is at equal distance from previous prime (102006911) and next prime (102006913).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102006911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368118 + ... + 368394.

It is an arithmetic number, because the mean of its divisors is an integer number (2445705).

Almost surely, 2^102006912 is an apocalyptic number.

102006912 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 102006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156525120).

102006912 is an abundant number, since it is smaller than the sum of its proper divisors (211043328).

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

102006912 is a wasteful number, since it uses less digits than its factorization.

102006912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 102006912 is about 10099.8471275559. The cubic root of 102006912 is about 467.2434265632.

The spelling of 102006912 in words is "one hundred two million, six thousand, nine hundred twelve".