102686472 has 96 divisors (see below), whose sum is σ = 322308480. Its totient is φ = 28926720.

The previous prime is 102686453. The next prime is 102686473. The reversal of 102686472 is 274686201.

102686472 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 8 + 647 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102686473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35397 + ... + 38187.

It is an arithmetic number, because the mean of its divisors is an integer number (3357380).

Almost surely, 2^102686472 is an apocalyptic number.

102686472 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 102686472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161154240).

102686472 is an abundant number, since it is smaller than the sum of its proper divisors (219622008).

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

102686472 is a wasteful number, since it uses less digits than its factorization.

102686472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 102686472 is about 10133.4333766991. The cubic root of 102686472 is about 468.2787075368.

The spelling of 102686472 in words is "one hundred two million, six hundred eighty-six thousand, four hundred seventy-two".