103746258616 has 288 divisors, whose sum is σ = 269215259040. Its totient is φ = 37122624000.

The previous prime is 103746258601. The next prime is 103746258643. The reversal of 103746258616 is 616852647301.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 103746258616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191767306 + ... + 191767846.

It is an arithmetic number, because the mean of its divisors is an integer number (934775205).

Almost surely, 2^103746258616 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 103746258616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134607629520).

103746258616 is an abundant number, since it is smaller than the sum of its proper divisors (165469000424).

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

103746258616 is a wasteful number, since it uses less digits than its factorization.

103746258616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 103746258616 in words is "one hundred three billion, seven hundred forty-six million, two hundred fifty-eight thousand, six hundred sixteen".