103249394032512 has 1024 divisors, whose sum is σ = 358246608814080. Its totient is φ = 25614876672000.

The previous prime is 103249394032469. The next prime is 103249394032627. The reversal of 103249394032512 is 215230493942301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12480280408 + ... + 12480288680.

It is an arithmetic number, because the mean of its divisors is an integer number (349850203920).

Almost surely, 2^{103249394032512} is an apocalyptic number.

103249394032512 is a gapful number since it is divisible by the number (12) 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 103249394032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179123304407040).

103249394032512 is an abundant number, since it is smaller than the sum of its proper divisors (254997214781568).

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

103249394032512 is a wasteful number, since it uses less digits than its factorization.

103249394032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 103249394032512 in words is "one hundred three trillion, two hundred forty-nine billion, three hundred ninety-four million, thirty-two thousand, five hundred twelve".