102166622440 has 128 divisors (see below), whose sum is σ = 250156408320. Its totient is φ = 37400780800.

The previous prime is 102166622431. The next prime is 102166622473. The reversal of 102166622440 is 44226661201.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 102166622396 and 102166622405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8664789 + ... + 8676571.

It is an arithmetic number, because the mean of its divisors is an integer number (1954346940).

Almost surely, 2^102166622440 is an apocalyptic number.

102166622440 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 102166622440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125078204160).

102166622440 is an abundant number, since it is smaller than the sum of its proper divisors (147989785880).

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

102166622440 is a wasteful number, since it uses less digits than its factorization.

102166622440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12163 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 102166622440 in words is "one hundred two billion, one hundred sixty-six million, six hundred twenty-two thousand, four hundred forty".