56107740060100 has 27 divisors (see below), whose sum is σ = 121753958474701. Its totient is φ = 22443066062000.

The previous prime is 56107740060083. The next prime is 56107740060109. The reversal of 56107740060100 is 106004770165.

The square root of 56107740060100 is 7490510.

It is a perfect power (a square), and thus also a powerful number.

56107740060100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20198786421636 + 35908953638464 = 4494306^2 + 5992408^2 .

It is a super-2 number, since 2×56107740060100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 56107740060100.

It is not an unprimeable number, because it can be changed into a prime (56107740060109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74530575 + ... + 75279625.

Almost surely, 2^{56107740060100} is an apocalyptic number.

56107740060100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56107740060100 is the 7490510-th square number.

It is an amenable number.

56107740060100 is an abundant number, since it is smaller than the sum of its proper divisors (65646218414601).

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

56107740060100 is an frugal number, since it uses more digits than its factorization.

56107740060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498116 (or 749058 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 56107740060100 in words is "fifty-six trillion, one hundred seven billion, seven hundred forty million, sixty thousand, one hundred".