1990102704100 has 135 divisors (see below), whose sum is σ = 5039727419657. Its totient is φ = 682083927840.

The previous prime is 1990102704089. The next prime is 1990102704119. The reversal of 1990102704100 is 14072010991.

The square root of 1990102704100 is 1410710.

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

It can be written as a sum of positive squares in only one way, i.e., 716436973476 + 1273665730624 = 846426^2 + 1128568^2 .

It is a super-2 number, since 2×1990102704100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 691246461 + ... + 691249339.

Almost surely, 2^{1990102704100} is an apocalyptic number.

1990102704100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1990102704100 is the 1410710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990102704100

1990102704100 is an abundant number, since it is smaller than the sum of its proper divisors (3049624715557).

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

1990102704100 is an frugal number, since it uses more digits than its factorization.

1990102704100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 1990102704100 in words is "one trillion, nine hundred ninety billion, one hundred two million, seven hundred four thousand, one hundred".