106930187532 has 144 divisors (see below), whose sum is σ = 320512308480. Its totient is φ = 30536056512.

The previous prime is 106930187513. The next prime is 106930187549. The reversal of 106930187532 is 235781039601.

106930187532 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 30 + 1 + 87 + 532 = 666.

It is a super-2 number, since 2×106930187532² (a number of 23 digits) contains 22 as substring.

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, 25832719 + ... + 25836857.

It is an arithmetic number, because the mean of its divisors is an integer number (2225779920).

Almost surely, 2^106930187532 is an apocalyptic number.

106930187532 is a gapful number since it is divisible by the number (12) 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 106930187532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160256154240).

106930187532 is an abundant number, since it is smaller than the sum of its proper divisors (213582120948).

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

106930187532 is a wasteful number, since it uses less digits than its factorization.

106930187532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7962 (or 7948 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 106930187532 in words is "one hundred six billion, nine hundred thirty million, one hundred eighty-seven thousand, five hundred thirty-two".