106242630000 has 200 divisors, whose sum is σ = 369348683088. Its totient is φ = 26151936000.

The previous prime is 106242629993. The next prime is 106242630001. The reversal of 106242630000 is 36242601.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×106242630000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106242630001) 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, 253792 + ... + 526208.

Almost surely, 2^106242630000 is an apocalyptic number.

106242630000 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 106242630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184674341544).

106242630000 is an abundant number, since it is smaller than the sum of its proper divisors (263106053088).

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

106242630000 is a wasteful number, since it uses less digits than its factorization.

106242630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272461 (or 272440 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 106242630000 its reverse (36242601), we get a palindrome (106278872601).

The spelling of 106242630000 in words is "one hundred six billion, two hundred forty-two million, six hundred thirty thousand".