102190158855000 has 960 divisors, whose sum is σ = 383216453231040. Its totient is φ = 24461623296000.

The previous prime is 102190158854969. The next prime is 102190158855041. The reversal of 102190158855000 is 558851091201.

It is a happy number.

102190158855000 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 9 + 0 + 15 + 88 + 550 + 0 + 0 = 666.

It is a super-2 number, since 2×102190158855000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6211026774 + ... + 6211043226.

It is an arithmetic number, because the mean of its divisors is an integer number (399183805449).

Almost surely, 2^{102190158855000} is an apocalyptic number.

102190158855000 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 102190158855000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191608226615520).

102190158855000 is an abundant number, since it is smaller than the sum of its proper divisors (281026294376040).

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

102190158855000 is a wasteful number, since it uses less digits than its factorization.

102190158855000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16878 (or 16856 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 45.

The spelling of 102190158855000 in words is "one hundred two trillion, one hundred ninety billion, one hundred fifty-eight million, eight hundred fifty-five thousand".