100671120 has 320 divisors, whose sum is σ = 399974400. Its totient is φ = 23016960.

The previous prime is 100671119. The next prime is 100671121. The reversal of 100671120 is 21176001.

It is an interprime number because it is at equal distance from previous prime (100671119) and next prime (100671121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100671093 and 100671102.

It is not an unprimeable number, because it can be changed into a prime (100671121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451329 + ... + 451551.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^100671120 is an apocalyptic number.

100671120 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 100671120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

100671120 is an abundant number, since it is smaller than the sum of its proper divisors (299303280).

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

100671120 is a wasteful number, since it uses less digits than its factorization.

100671120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100671120 is about 10033.4998878756. The cubic root of 100671120 is about 465.1949234815.

100671120 divided by its sum of digits (18) gives a triangular number (5592840 = T₃₃₄₄).

The spelling of 100671120 in words is "one hundred million, six hundred seventy-one thousand, one hundred twenty".