103006636278 has 128 divisors (see below), whose sum is σ = 255509689344. Its totient is φ = 26957836800.

The previous prime is 103006636277. The next prime is 103006636279. The reversal of 103006636278 is 872636600301.

It is an interprime number because it is at equal distance from previous prime (103006636277) and next prime (103006636279).

It is a super-2 number, since 2×103006636278² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103006636277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63544308 + ... + 63545928.

It is an arithmetic number, because the mean of its divisors is an integer number (1996169448).

Almost surely, 2^103006636278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103006636278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127754844672).

103006636278 is an abundant number, since it is smaller than the sum of its proper divisors (152503053066).

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

103006636278 is a wasteful number, since it uses less digits than its factorization.

103006636278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470.

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 103006636278 in words is "one hundred three billion, six million, six hundred thirty-six thousand, two hundred seventy-eight".