100151296 has 78 divisors (see below), whose sum is σ = 233443500. Its totient is φ = 42835968.

The previous prime is 100151273. The next prime is 100151321. The reversal of 100151296 is 692151001.

It is a self number, because there is not a number n which added to its sum of digits gives 100151296.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200455 + ... + 200953.

Almost surely, 2^100151296 is an apocalyptic number.

100151296 is a gapful number since it is divisible by the number (16) 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 100151296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116721750).

100151296 is an abundant number, since it is smaller than the sum of its proper divisors (133292204).

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

100151296 is an frugal number, since it uses more digits than its factorization.

100151296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 100151296 is about 10007.5619408525. The cubic root of 100151296 is about 464.3928500149.

It can be divided in two parts, 10015 and 1296, that added together give a palindrome (11311).

The spelling of 100151296 in words is "one hundred million, one hundred fifty-one thousand, two hundred ninety-six".