100842000 has 240 divisors, whose sum is σ = 379297152. Its totient is φ = 23049600.

The previous prime is 100841989. The next prime is 100842013. The reversal of 100842000 is 248001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14405997 + ... + 14406003.

Almost surely, 2^100842000 is an apocalyptic number.

100842000 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 100842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189648576).

100842000 is an abundant number, since it is smaller than the sum of its proper divisors (278455152).

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

100842000 is an frugal number, since it uses more digits than its factorization.

100842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 100842000 is about 10042.0117506404. The cubic root of 100842000 is about 465.4579832806.

The spelling of 100842000 in words is "one hundred million, eight hundred forty-two thousand".