103527127952 has 160 divisors (see below), whose sum is σ = 228516266880. Its totient is φ = 45140336640.

The previous prime is 103527127937. The next prime is 103527127967. The reversal of 103527127952 is 259721725301.

It is an interprime number because it is at equal distance from previous prime (103527127937) and next prime (103527127967).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62103023 + ... + 62104689.

It is an arithmetic number, because the mean of its divisors is an integer number (1428226668).

Almost surely, 2^103527127952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103527127952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114258133440).

103527127952 is an abundant number, since it is smaller than the sum of its proper divisors (124989138928).

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

103527127952 is a wasteful number, since it uses less digits than its factorization.

103527127952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 103527127952 in words is "one hundred three billion, five hundred twenty-seven million, one hundred twenty-seven thousand, nine hundred fifty-two".