100072278 has 48 divisors (see below), whose sum is σ = 235622400. Its totient is φ = 30579120.

The previous prime is 100072253. The next prime is 100072337. The reversal of 100072278 is 872270001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5883 + ... + 15321.

It is an arithmetic number, because the mean of its divisors is an integer number (4908800).

Almost surely, 2^100072278 is an apocalyptic number.

100072278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100072278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117811200).

100072278 is an abundant number, since it is smaller than the sum of its proper divisors (135550122).

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

100072278 is a wasteful number, since it uses less digits than its factorization.

100072278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 100072278 is about 10003.6132472222. The cubic root of 100072278 is about 464.2706846823.

The spelling of 100072278 in words is "one hundred million, seventy-two thousand, two hundred seventy-eight".