102150680 has 64 divisors (see below), whose sum is σ = 237384000. Its totient is φ = 39536640.

The previous prime is 102150677. The next prime is 102150689. The reversal of 102150680 is 86051201.

It is a super-2 number, since 2×102150680² = 20869522848924800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102150689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326204 + ... + 326516.

It is an arithmetic number, because the mean of its divisors is an integer number (3709125).

Almost surely, 2^102150680 is an apocalyptic number.

102150680 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 102150680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118692000).

102150680 is an abundant number, since it is smaller than the sum of its proper divisors (135233320).

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

102150680 is a wasteful number, since it uses less digits than its factorization.

102150680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 102150680 is about 10106.9619569879. The cubic root of 102150680 is about 467.4628336530.

The spelling of 102150680 in words is "one hundred two million, one hundred fifty thousand, six hundred eighty".