100800054 has 48 divisors (see below), whose sum is σ = 234823680. Its totient is φ = 31149360.

The previous prime is 100800047. The next prime is 100800061. The reversal of 100800054 is 450008001.

It is an interprime number because it is at equal distance from previous prime (100800047) and next prime (100800061).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12939 + ... + 19209.

It is an arithmetic number, because the mean of its divisors is an integer number (4892160).

Almost surely, 2^100800054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100800054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117411840).

100800054 is an abundant number, since it is smaller than the sum of its proper divisors (134023626).

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

100800054 is a wasteful number, since it uses less digits than its factorization.

100800054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100800054 is about 10039.9230076729. The cubic root of 100800054 is about 465.3934373961.

Adding to 100800054 its reverse (450008001), we get a palindrome (550808055).

The spelling of 100800054 in words is "one hundred million, eight hundred thousand, fifty-four".