106271532500 has 120 divisors (see below), whose sum is σ = 266361686976. Its totient is φ = 36330624000.

The previous prime is 106271532463. The next prime is 106271532509. The reversal of 106271532500 is 5235172601.

It is a super-2 number, since 2×106271532500² (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 (106271532509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6168899 + ... + 6186101.

Almost surely, 2^106271532500 is an apocalyptic number.

106271532500 is a gapful number since it is divisible by the number (10) 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 106271532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133180843488).

106271532500 is an abundant number, since it is smaller than the sum of its proper divisors (160090154476).

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

106271532500 is a wasteful number, since it uses less digits than its factorization.

106271532500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17587 (or 17570 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 106271532500 in words is "one hundred six billion, two hundred seventy-one million, five hundred thirty-two thousand, five hundred".