103740440403672 has 96 divisors (see below), whose sum is σ = 291870219382560. Its totient is φ = 33261563328000.

The previous prime is 103740440403671. The next prime is 103740440403689. The reversal of 103740440403672 is 276304044047301.

103740440403672 is a `hidden beast` number, since 1 + 0 + 3 + 74 + 0 + 440 + 40 + 36 + 72 = 666.

It is a super-2 number, since 2×103740440403672² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103740440403671) 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, 247272279 + ... + 247691462.

It is an arithmetic number, because the mean of its divisors is an integer number (3040314785235).

Almost surely, 2^{103740440403672} is an apocalyptic number.

103740440403672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103740440403672 is an abundant number, since it is smaller than the sum of its proper divisors (188129778978888).

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

103740440403672 is a wasteful number, since it uses less digits than its factorization.

103740440403672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494963865 (or 494963858 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 103740440403672 in words is "one hundred three trillion, seven hundred forty billion, four hundred forty million, four hundred three thousand, six hundred seventy-two".