103542505248 has 288 divisors, whose sum is σ = 341152124544. Its totient is φ = 27255287808.

The previous prime is 103542505211. The next prime is 103542505249. The reversal of 103542505248 is 842505245301.

It is a super-3 number, since 3×103542505248³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (103542505249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39564036 + ... + 39566652.

It is an arithmetic number, because the mean of its divisors is an integer number (1184555988).

Almost surely, 2^103542505248 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 103542505248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170576062272).

103542505248 is an abundant number, since it is smaller than the sum of its proper divisors (237609619296).

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

103542505248 is a wasteful number, since it uses less digits than its factorization.

103542505248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 103542505248 in words is "one hundred three billion, five hundred forty-two million, five hundred five thousand, two hundred forty-eight".