103852277760 has 760 divisors, whose sum is σ = 422936031456. Its totient is φ = 21579694080.

The previous prime is 103852277759. The next prime is 103852277761. The reversal of 103852277760 is 67772258301.

It is an interprime number because it is at equal distance from previous prime (103852277759) and next prime (103852277761).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103852277761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9441116155 + ... + 9441116165.

Almost surely, 2^103852277760 is an apocalyptic number.

103852277760 is a gapful number since it is divisible by the number (10) 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 103852277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211468015728).

103852277760 is an abundant number, since it is smaller than the sum of its proper divisors (319083753696).

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

103852277760 is an frugal number, since it uses more digits than its factorization.

103852277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 103852277760 in words is "one hundred three billion, eight hundred fifty-two million, two hundred seventy-seven thousand, seven hundred sixty".