100847640 has 128 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 25259520.

The previous prime is 100847639. The next prime is 100847647. The reversal of 100847640 is 46748001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100847598 and 100847607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100847647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168061 + ... + 168659.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2^100847640 is an apocalyptic number.

100847640 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 100847640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

100847640 is an abundant number, since it is smaller than the sum of its proper divisors (220560360).

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

100847640 is a wasteful number, since it uses less digits than its factorization.

100847640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 100847640 is about 10042.2925669391. The cubic root of 100847640 is about 465.4666606640.

The spelling of 100847640 in words is "one hundred million, eight hundred forty-seven thousand, six hundred forty".