106257000000 has 196 divisors, whose sum is σ = 351428314160. Its totient is φ = 28334400000.

The previous prime is 106256999999. The next prime is 106257000019. The reversal of 106257000000 is 752601.

It is a super-2 number, since 2×106257000000² (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 27 ways as a sum of consecutive naturals, for example, 2982291 + ... + 3017709.

Almost surely, 2^106257000000 is an apocalyptic number.

106257000000 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 106257000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175714157080).

106257000000 is an abundant number, since it is smaller than the sum of its proper divisors (245171314160).

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

106257000000 is an frugal number, since it uses more digits than its factorization.

106257000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35464 (or 35429 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 106257000000 its reverse (752601), we get a palindrome (106257752601).

The spelling of 106257000000 in words is "one hundred six billion, two hundred fifty-seven million", and thus it is an aban number.