103014517680 has 120 divisors (see below), whose sum is σ = 364165404720. Its totient is φ = 26024716800.

The previous prime is 103014517657. The next prime is 103014517681. The reversal of 103014517680 is 86715410301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×103014517680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103014517681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3751471 + ... + 3778830.

It is an arithmetic number, because the mean of its divisors is an integer number (3034711706).

Almost surely, 2^103014517680 is an apocalyptic number.

103014517680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103014517680 is an abundant number, since it is smaller than the sum of its proper divisors (261150887040).

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

103014517680 is a wasteful number, since it uses less digits than its factorization.

103014517680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530339 (or 7530330 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 103014517680 its reverse (86715410301), we get a palindrome (189729927981).

The spelling of 103014517680 in words is "one hundred three billion, fourteen million, five hundred seventeen thousand, six hundred eighty".