100770110667400 has 24 divisors (see below), whose sum is σ = 234290507302170. Its totient is φ = 40308044266880.

The previous prime is 100770110667397. The next prime is 100770110667403. The reversal of 100770110667400 is 4766011077001.

It is an interprime number because it is at equal distance from previous prime (100770110667397) and next prime (100770110667403).

It can be written as a sum of positive squares in 3 ways, for example, as 94165015345956 + 6605095321444 = 9703866^2 + 2570038^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (100770110667403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251925276469 + ... + 251925276868.

Almost surely, 2^{100770110667400} is an apocalyptic number.

100770110667400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100770110667400 is an abundant number, since it is smaller than the sum of its proper divisors (133520396634770).

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

100770110667400 is a wasteful number, since it uses less digits than its factorization.

100770110667400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503850553353 (or 503850553344 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The spelling of 100770110667400 in words is "one hundred trillion, seven hundred seventy billion, one hundred ten million, six hundred sixty-seven thousand, four hundred".