102938493840 has 960 divisors, whose sum is σ = 427316649984. Its totient is φ = 19948732416.

The previous prime is 102938493829. The next prime is 102938493851. The reversal of 102938493840 is 48394839201.

It is an interprime number because it is at equal distance from previous prime (102938493829) and next prime (102938493851).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 296652547 + ... + 296652893.

Almost surely, 2^102938493840 is an apocalyptic number.

102938493840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102938493840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213658324992).

102938493840 is an abundant number, since it is smaller than the sum of its proper divisors (324378156144).

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

102938493840 is a wasteful number, since it uses less digits than its factorization.

102938493840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

It can be divided in two parts, 102938 and 493840, that added together give a triangular number (596778 = T₁₀₉₂).

The spelling of 102938493840 in words is "one hundred two billion, nine hundred thirty-eight million, four hundred ninety-three thousand, eight hundred forty".