103157673024 has 224 divisors, whose sum is σ = 319381632000. Its totient is φ = 28776314880.

The previous prime is 103157673013. The next prime is 103157673049. The reversal of 103157673024 is 420376751301.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11810739 + ... + 11819469.

Almost surely, 2^103157673024 is an apocalyptic number.

103157673024 is a gapful number since it is divisible by the number (14) 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 103157673024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159690816000).

103157673024 is an abundant number, since it is smaller than the sum of its proper divisors (216223958976).

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

103157673024 is a wasteful number, since it uses less digits than its factorization.

103157673024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8961 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 103157673024 in words is "one hundred three billion, one hundred fifty-seven million, six hundred seventy-three thousand, twenty-four".