102437493000 has 256 divisors, whose sum is σ = 338319072000. Its totient is φ = 25733376000.

The previous prime is 102437492987. The next prime is 102437493007. The reversal of 102437493000 is 394734201.

It is not an unprimeable number, because it can be changed into a prime (102437493007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10312036 + ... + 10321964.

It is an arithmetic number, because the mean of its divisors is an integer number (1321558875).

Almost surely, 2^102437493000 is an apocalyptic number.

102437493000 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 102437493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169159536000).

102437493000 is an abundant number, since it is smaller than the sum of its proper divisors (235881579000).

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

102437493000 is a wasteful number, since it uses less digits than its factorization.

102437493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153 (or 10139 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 102437493000 in words is "one hundred two billion, four hundred thirty-seven million, four hundred ninety-three thousand".