100645680 has 80 divisors (see below), whose sum is σ = 314381664. Its totient is φ = 26634240.

The previous prime is 100645673. The next prime is 100645687. The reversal of 100645680 is 86546001.

It is an interprime number because it is at equal distance from previous prime (100645673) and next prime (100645687).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (100645687) 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, 31350 + ... + 34410.

Almost surely, 2^100645680 is an apocalyptic number.

100645680 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 100645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157190832).

100645680 is an abundant number, since it is smaller than the sum of its proper divisors (213735984).

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

100645680 is a wasteful number, since it uses less digits than its factorization.

100645680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 100645680 is about 10032.2320547324. The cubic root of 100645680 is about 465.1557346328.

The spelling of 100645680 in words is "one hundred million, six hundred forty-five thousand, six hundred eighty".