102142652634 has 144 divisors (see below), whose sum is σ = 256644460800. Its totient is φ = 29256353280.

The previous prime is 102142652609. The next prime is 102142652657. The reversal of 102142652634 is 436256241201.

102142652634 is a `hidden beast` number, since 1 + 0 + 2 + 14 + 2 + 6 + 5 + 2 + 634 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19819402 + ... + 19824554.

It is an arithmetic number, because the mean of its divisors is an integer number (1782253200).

Almost surely, 2^102142652634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102142652634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128322230400).

102142652634 is an abundant number, since it is smaller than the sum of its proper divisors (154501808166).

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

102142652634 is a wasteful number, since it uses less digits than its factorization.

102142652634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 102142652634 its reverse (436256241201), we get a palindrome (538398893835).

The spelling of 102142652634 in words is "one hundred two billion, one hundred forty-two million, six hundred fifty-two thousand, six hundred thirty-four".