102942736444900 has 81 divisors (see below), whose sum is σ = 245542357662427. Its totient is φ = 37433316500800.

The previous prime is 102942736444861. The next prime is 102942736444901. The reversal of 102942736444900 is 9444637249201.

It is a happy number.

The square root of 102942736444900 is 10146070.

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 6224795462116 + 96717940982784 = 2494954^2 + 9834528^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102942736444901) 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, 1116021582 + ... + 1116113818.

Almost surely, 2^{102942736444900} is an apocalyptic number.

102942736444900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102942736444900 is the 10146070-th square number.

It is an amenable number.

102942736444900 is an abundant number, since it is smaller than the sum of its proper divisors (142599621217527).

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

102942736444900 is an frugal number, since it uses more digits than its factorization.

102942736444900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184510 (or 92255 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

The spelling of 102942736444900 in words is "one hundred two trillion, nine hundred forty-two billion, seven hundred thirty-six million, four hundred forty-four thousand, nine hundred".