103011132672 has 576 divisors, whose sum is σ = 357017794560. Its totient is φ = 28692873216.

The previous prime is 103011132661. The next prime is 103011132689. The reversal of 103011132672 is 276231110301.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×103011132672² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 453793423 + ... + 453793649.

It is an arithmetic number, because the mean of its divisors is an integer number (619822560).

Almost surely, 2^103011132672 is an apocalyptic number.

103011132672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103011132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178508897280).

103011132672 is an abundant number, since it is smaller than the sum of its proper divisors (254006661888).

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

103011132672 is a wasteful number, since it uses less digits than its factorization.

103011132672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 103011132672 its reverse (276231110301), we get a palindrome (379242242973).

The spelling of 103011132672 in words is "one hundred three billion, eleven million, one hundred thirty-two thousand, six hundred seventy-two".