102757145050944 has 280 divisors, whose sum is σ = 312933617873448. Its totient is φ = 33316340428800.

The previous prime is 102757145050943. The next prime is 102757145050949. The reversal of 102757145050944 is 449050541757201.

102757145050944 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 57 + 1 + 45 + 0 + 509 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23277923078400 + 79479221972544 = 4824720^2 + 8915112^2 .

It is a super-3 number, since 3×102757145050944³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102757145050943) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 633077062 + ... + 633239354.

Almost surely, 2^{102757145050944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102757145050944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156466808936724).

102757145050944 is an abundant number, since it is smaller than the sum of its proper divisors (210176472822504).

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

102757145050944 is a wasteful number, since it uses less digits than its factorization.

102757145050944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165655 (or 165636 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 102757145050944 in words is "one hundred two trillion, seven hundred fifty-seven billion, one hundred forty-five million, fifty thousand, nine hundred forty-four".