103029061632 has 192 divisors, whose sum is σ = 314388023040. Its totient is φ = 29392699392.

The previous prime is 103029061601. The next prime is 103029061649. The reversal of 103029061632 is 236160920301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×103029061632² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103029061593 and 103029061602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37974708 + ... + 37977420.

It is an arithmetic number, because the mean of its divisors is an integer number (1637437620).

Almost surely, 2^103029061632 is an apocalyptic number.

103029061632 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 103029061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157194011520).

103029061632 is an abundant number, since it is smaller than the sum of its proper divisors (211358961408).

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

103029061632 is an equidigital number, since it uses as much as digits as its factorization.

103029061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

Adding to 103029061632 its reverse (236160920301), we get a palindrome (339189981933).

The spelling of 103029061632 in words is "one hundred three billion, twenty-nine million, sixty-one thousand, six hundred thirty-two".