100949362590736 has 75 divisors (see below), whose sum is σ = 215157357653455. Its totient is φ = 45883863486560.

The previous prime is 100949362590697. The next prime is 100949362590749. The reversal of 100949362590736 is 637095263949001.

The square root of 100949362590736 is 10047356.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×100949362590736³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4862909925 + ... + 4862930683.

Almost surely, 2^{100949362590736} is an apocalyptic number.

100949362590736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100949362590736 is the 10047356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100949362590736

100949362590736 is an abundant number, since it is smaller than the sum of its proper divisors (114207995062719).

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

100949362590736 is an frugal number, since it uses more digits than its factorization.

100949362590736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41570 (or 20772 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 64.

The spelling of 100949362590736 in words is "one hundred trillion, nine hundred forty-nine billion, three hundred sixty-two million, five hundred ninety thousand, seven hundred thirty-six".