1000107765384 has 128 divisors (see below), whose sum is σ = 3258269763840. Its totient is φ = 248249106432.

The previous prime is 1000107765379. The next prime is 1000107765431. The reversal of 1000107765384 is 4835677010001.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 13431249 + ... + 13505504.

It is an arithmetic number, because the mean of its divisors is an integer number (25455232530).

Almost surely, 2^{1000107765384} is an apocalyptic number.

1000107765384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1000107765384 is an abundant number, since it is smaller than the sum of its proper divisors (2258161998456).

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

1000107765384 is a wasteful number, since it uses less digits than its factorization.

1000107765384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26936799 (or 26936795 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 1000107765384 in words is "one trillion, one hundred seven million, seven hundred sixty-five thousand, three hundred eighty-four".