100778036007753 has 16 divisors (see below), whose sum is σ = 160785470554240. Its totient is φ = 62017252927632.

The previous prime is 100778036007751. The next prime is 100778036007821. The reversal of 100778036007753 is 357700630877001.

It is not a de Polignac number, because 100778036007753 - 2¹ = 100778036007751 is a prime.

It is a super-2 number, since 2×100778036007753² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100778036007753.

It is not an unprimeable number, because it can be changed into a prime (100778036007751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143558455501 + ... + 143558456202.

It is an arithmetic number, because the mean of its divisors is an integer number (10049091909640).

Almost surely, 2^{100778036007753} is an apocalyptic number.

100778036007753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100778036007753 is a deficient number, since it is larger than the sum of its proper divisors (60007434546487).

100778036007753 is a wasteful number, since it uses less digits than its factorization.

100778036007753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287116911725 (or 287116911719 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 100778036007753 in words is "one hundred trillion, seven hundred seventy-eight billion, thirty-six million, seven thousand, seven hundred fifty-three".