1961092152100 has 81 divisors (see below), whose sum is σ = 4292318477811. Its totient is φ = 777720590400.

The previous prime is 1961092152059. The next prime is 1961092152109. The reversal of 1961092152100 is 12512901691.

The square root of 1961092152100 is 1400390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 58987779876 + 1902104372224 = 242874^2 + 1379168^2 .

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 1961092152100.

It is not an unprimeable number, because it can be changed into a prime (1961092152109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1834510366 + ... + 1834511434.

Almost surely, 2^{1961092152100} is an apocalyptic number.

1961092152100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1961092152100 is the 1400390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961092152100

1961092152100 is an abundant number, since it is smaller than the sum of its proper divisors (2331226325711).

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

1961092152100 is an equidigital number, since it uses as much as digits as its factorization.

1961092152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 37.

The spelling of 1961092152100 in words is "one trillion, nine hundred sixty-one billion, ninety-two million, one hundred fifty-two thousand, one hundred".