106357517500 has 240 divisors, whose sum is σ = 259014388864. Its totient is φ = 37946880000.

The previous prime is 106357517473. The next prime is 106357517507. The reversal of 106357517500 is 5715753601.

It is a super-2 number, since 2×106357517500² (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 (106357517507) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289802317 + ... + 289802683.

Almost surely, 2^106357517500 is an apocalyptic number.

106357517500 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 106357517500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129507194432).

106357517500 is an abundant number, since it is smaller than the sum of its proper divisors (152656871364).

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

106357517500 is a wasteful number, since it uses less digits than its factorization.

106357517500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 40.

The spelling of 106357517500 in words is "one hundred six billion, three hundred fifty-seven million, five hundred seventeen thousand, five hundred".