102258705150 has 540 divisors, whose sum is σ = 351298584648. Its totient is φ = 21986173440.

The previous prime is 102258705121. The next prime is 102258705151. The reversal of 102258705150 is 51507852201.

102258705150 is a `hidden beast` number, since 1 + 0 + 22 + 58 + 70 + 515 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102258705151) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 57351159 + ... + 57352941.

Almost surely, 2^102258705150 is an apocalyptic number.

102258705150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102258705150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175649292324).

102258705150 is an abundant number, since it is smaller than the sum of its proper divisors (249039879498).

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

102258705150 is a wasteful number, since it uses less digits than its factorization.

102258705150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 102258705150 in words is "one hundred two billion, two hundred fifty-eight million, seven hundred five thousand, one hundred fifty".