102020254938 has 192 divisors, whose sum is σ = 269130301440. Its totient is φ = 27282842496.

The previous prime is 102020254823. The next prime is 102020254951. The reversal of 102020254938 is 839452020201.

It is a happy number.

102020254938 is a `hidden beast` number, since 102 + 0 + 2 + 0 + 2 + 549 + 3 + 8 = 666.

It is a super-2 number, since 2×102020254938² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93339120 + ... + 93340212.

It is an arithmetic number, because the mean of its divisors is an integer number (1401720320).

Almost surely, 2^102020254938 is an apocalyptic number.

102020254938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020254938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134565150720).

102020254938 is an abundant number, since it is smaller than the sum of its proper divisors (167110046502).

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

102020254938 is a wasteful number, since it uses less digits than its factorization.

102020254938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 102020254938 in words is "one hundred two billion, twenty million, two hundred fifty-four thousand, nine hundred thirty-eight".