103721666990400 has 252 divisors, whose sum is σ = 368660093922432. Its totient is φ = 27658450990080.

The previous prime is 103721666990341. The next prime is 103721666990503. The reversal of 103721666990400 is 4099666127301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1040882979 + ... + 1040982621.

Almost surely, 2^{103721666990400} is an apocalyptic number.

103721666990400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103721666990400 is an abundant number, since it is smaller than the sum of its proper divisors (264938426932032).

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

103721666990400 is a wasteful number, since it uses less digits than its factorization.

103721666990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171958 (or 171940 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 103721666990400 in words is "one hundred three trillion, seven hundred twenty-one billion, six hundred sixty-six million, nine hundred ninety thousand, four hundred".