102100680 has 384 divisors, whose sum is σ = 404352000. Its totient is φ = 22049280.

The previous prime is 102100679. The next prime is 102100693. The reversal of 102100680 is 86001201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1730491 + ... + 1730549.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^102100680 is an apocalyptic number.

102100680 is a gapful number since it is divisible by the number (10) 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 102100680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202176000).

102100680 is an abundant number, since it is smaller than the sum of its proper divisors (302251320).

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

102100680 is a wasteful number, since it uses less digits than its factorization.

102100680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102100680 is about 10104.4881117254. The cubic root of 102100680 is about 467.3865510601.

Adding to 102100680 its reverse (86001201), we get a palindrome (188101881).

The spelling of 102100680 in words is "one hundred two million, one hundred thousand, six hundred eighty".