102083190000 has 400 divisors, whose sum is σ = 371927445120. Its totient is φ = 23891840000.

The previous prime is 102083189983. The next prime is 102083190031. The reversal of 102083190000 is 91380201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×102083190000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9564667 + ... + 9575333.

Almost surely, 2^102083190000 is an apocalyptic number.

102083190000 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 102083190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185963722560).

102083190000 is an abundant number, since it is smaller than the sum of its proper divisors (269844255120).

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

102083190000 is a wasteful number, since it uses less digits than its factorization.

102083190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10738 (or 10717 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 102083190000 in words is "one hundred two billion, eighty-three million, one hundred ninety thousand".