100947840 has 384 divisors, whose sum is σ = 397677600. Its totient is φ = 21676032.

The previous prime is 100947839. The next prime is 100947841. The reversal of 100947840 is 48749001.

It is an interprime number because it is at equal distance from previous prime (100947839) and next prime (100947841).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100947841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2728302 + ... + 2728338.

Almost surely, 2^100947840 is an apocalyptic number.

100947840 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 100947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198838800).

100947840 is an abundant number, since it is smaller than the sum of its proper divisors (296729760).

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

100947840 is a wasteful number, since it uses less digits than its factorization.

100947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 100947840 is about 10047.2802289973. The cubic root of 100947840 is about 465.6207687858.

The spelling of 100947840 in words is "one hundred million, nine hundred forty-seven thousand, eight hundred forty".