102158206416 has 240 divisors, whose sum is σ = 333519189120. Its totient is φ = 28586557440.

The previous prime is 102158206399. The next prime is 102158206453. The reversal of 102158206416 is 614602851201.

It is a happy number.

102158206416 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 5 + 8 + 2 + 0 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16708576 + ... + 16714688.

It is an arithmetic number, because the mean of its divisors is an integer number (1389663288).

Almost surely, 2^102158206416 is an apocalyptic number.

102158206416 is a gapful number since it is divisible by the number (16) 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 102158206416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166759594560).

102158206416 is an abundant number, since it is smaller than the sum of its proper divisors (231360982704).

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

102158206416 is a wasteful number, since it uses less digits than its factorization.

102158206416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 102158206416 in words is "one hundred two billion, one hundred fifty-eight million, two hundred six thousand, four hundred sixteen".