102852618490384 has 225 divisors, whose sum is σ = 236752951949997. Its totient is φ = 43283170175616.

The previous prime is 102852618490357. The next prime is 102852618490483. The reversal of 102852618490384 is 483094816258201.

The square root of 102852618490384 is 10141628.

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., 86657853360400 + 16194765129984 = 9309020^2 + 4024272^2 .

It is a super-2 number, since 2×102852618490384² (a number of 29 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, 117277785754 + ... + 117277786630.

Almost surely, 2^{102852618490384} is an apocalyptic number.

102852618490384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102852618490384 is the 10141628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102852618490384

102852618490384 is an abundant number, since it is smaller than the sum of its proper divisors (133900333459613).

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

102852618490384 is an frugal number, since it uses more digits than its factorization.

102852618490384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 61.

The spelling of 102852618490384 in words is "one hundred two trillion, eight hundred fifty-two billion, six hundred eighteen million, four hundred ninety thousand, three hundred eighty-four".