102677216 has 48 divisors (see below), whose sum is σ = 215102160. Its totient is φ = 48107520.

The previous prime is 102677203. The next prime is 102677219. The reversal of 102677216 is 612776201.

It is a super-2 number, since 2×102677216² = 21085221371021312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102677219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58106 + ... + 59846.

It is an arithmetic number, because the mean of its divisors is an integer number (4481295).

Almost surely, 2^102677216 is an apocalyptic number.

102677216 is a gapful number since it is divisible by the number (16) 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 102677216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107551080).

102677216 is an abundant number, since it is smaller than the sum of its proper divisors (112424944).

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

102677216 is a wasteful number, since it uses less digits than its factorization.

102677216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 102677216 is about 10132.9766603896. The cubic root of 102677216 is about 468.2646371408.

The spelling of 102677216 in words is "one hundred two million, six hundred seventy-seven thousand, two hundred sixteen".