103414747680 has 120 divisors (see below), whose sum is σ = 364967926092. Its totient is φ = 27577262592.

The previous prime is 103414747669. The next prime is 103414747687. The reversal of 103414747680 is 86747414301.

103414747680 is a `hidden beast` number, since 1 + 0 + 34 + 1 + 474 + 76 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98026600464 + 5388147216 = 313092^2 + 73404^2 .

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

It is a super-2 number, since 2×103414747680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103414747687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3976807 + ... + 4002726.

Almost surely, 2^103414747680 is an apocalyptic number.

103414747680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103414747680 is an abundant number, since it is smaller than the sum of its proper divisors (261553178412).

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

103414747680 is an equidigital number, since it uses as much as digits as its factorization.

103414747680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7979560 (or 7979543 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 103414747680 in words is "one hundred three billion, four hundred fourteen million, seven hundred forty-seven thousand, six hundred eighty".