106251531534 has 48 divisors (see below), whose sum is σ = 234624287664. Its totient is φ = 34738704000.

The previous prime is 106251531527. The next prime is 106251531539. The reversal of 106251531534 is 435135152601.

106251531534 is a `hidden beast` number, since 1 + 0 + 62 + 515 + 31 + 53 + 4 = 666.

It is a super-2 number, since 2×106251531534² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106251531539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3659394 + ... + 3688314.

It is an arithmetic number, because the mean of its divisors is an integer number (4888005993).

Almost surely, 2^106251531534 is an apocalyptic number.

106251531534 is an abundant number, since it is smaller than the sum of its proper divisors (128372756130).

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

106251531534 is a wasteful number, since it uses less digits than its factorization.

106251531534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32833 (or 32830 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 106251531534 in words is "one hundred six billion, two hundred fifty-one million, five hundred thirty-one thousand, five hundred thirty-four".