102667741792 has 96 divisors (see below), whose sum is σ = 254315255040. Its totient is φ = 39633338880.

The previous prime is 102667741763. The next prime is 102667741801. The reversal of 102667741792 is 297147766201.

It is a happy number.

It is a super-4 number, since 4×102667741792⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77443 + ... + 459709.

It is an arithmetic number, because the mean of its divisors is an integer number (2649117240).

Almost surely, 2^102667741792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102667741792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127157627520).

102667741792 is an abundant number, since it is smaller than the sum of its proper divisors (151647513248).

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

102667741792 is a wasteful number, since it uses less digits than its factorization.

102667741792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382404 (or 382396 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 102667741792 in words is "one hundred two billion, six hundred sixty-seven million, seven hundred forty-one thousand, seven hundred ninety-two".