102966261720 has 192 divisors, whose sum is σ = 360235576800. Its totient is φ = 23475916800.

The previous prime is 102966261709. The next prime is 102966261737. The reversal of 102966261720 is 27162669201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2336046 + ... + 2379714.

Almost surely, 2^102966261720 is an apocalyptic number.

102966261720 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 102966261720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180117788400).

102966261720 is an abundant number, since it is smaller than the sum of its proper divisors (257269315080).

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

102966261720 is a wasteful number, since it uses less digits than its factorization.

102966261720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44098 (or 44087 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 102966261720 in words is "one hundred two billion, nine hundred sixty-six million, two hundred sixty-one thousand, seven hundred twenty".