103528327760 has 80 divisors (see below), whose sum is σ = 282784400640. Its totient is φ = 34750763520.

The previous prime is 103528327759. The next prime is 103528327769. The reversal of 103528327760 is 67723825301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×103528327760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103528327769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4513400 + ... + 4536279.

It is an arithmetic number, because the mean of its divisors is an integer number (3534805008).

Almost surely, 2^103528327760 is an apocalyptic number.

103528327760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103528327760 is an abundant number, since it is smaller than the sum of its proper divisors (179256072880).

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

103528327760 is a wasteful number, since it uses less digits than its factorization.

103528327760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9049716 (or 9049710 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 103528327760 in words is "one hundred three billion, five hundred twenty-eight million, three hundred twenty-seven thousand, seven hundred sixty".