100642640 has 40 divisors (see below), whose sum is σ = 267423360. Its totient is φ = 34505856.

The previous prime is 100642637. The next prime is 100642657. The reversal of 100642640 is 46246001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89300 + ... + 90419.

It is an arithmetic number, because the mean of its divisors is an integer number (6685584).

Almost surely, 2^100642640 is an apocalyptic number.

100642640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100642640 is an abundant number, since it is smaller than the sum of its proper divisors (166780720).

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

100642640 is a wasteful number, since it uses less digits than its factorization.

100642640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179739 (or 179733 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 100642640 is about 10032.0805419414. The cubic root of 100642640 is about 465.1510512469.

Adding to 100642640 its reverse (46246001), we get a palindrome (146888641).

The spelling of 100642640 in words is "one hundred million, six hundred forty-two thousand, six hundred forty".