30105066642 has 64 divisors (see below), whose sum is σ = 71302201344. Its totient is φ = 8292237120.

The previous prime is 30105066637. The next prime is 30105066661. The reversal of 30105066642 is 24666050103.

It is a super-2 number, since 2×30105066642² (a number of 22 digits) contains 22 as substring.

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, 298468 + ... + 386384.

It is an arithmetic number, because the mean of its divisors is an integer number (1114096896).

Almost surely, 2^30105066642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30105066642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35651100672).

30105066642 is an abundant number, since it is smaller than the sum of its proper divisors (41197134702).

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

30105066642 is a wasteful number, since it uses less digits than its factorization.

30105066642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88223.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 30105066642 in words is "thirty billion, one hundred five million, sixty-six thousand, six hundred forty-two".