100150776791296 has 243 divisors, whose sum is σ = 255642921075423. Its totient is φ = 39014979548160.

The previous prime is 100150776791227. The next prime is 100150776791309. The reversal of 100150776791296 is 692197677051001.

The square root of 100150776791296 is 10007536.

It is a perfect power (a square), and thus also a powerful 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 26 ways as a sum of consecutive naturals, for example, 12329280291 + ... + 12329288413.

Almost surely, 2^{100150776791296} is an apocalyptic number.

100150776791296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100150776791296 is the 10007536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100150776791296

100150776791296 is an abundant number, since it is smaller than the sum of its proper divisors (155492144284127).

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

100150776791296 is an frugal number, since it uses more digits than its factorization.

100150776791296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16298 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 61.

The spelling of 100150776791296 in words is "one hundred trillion, one hundred fifty billion, seven hundred seventy-six million, seven hundred ninety-one thousand, two hundred ninety-six".