106859700792 has 256 divisors, whose sum is σ = 323671824000. Its totient is φ = 32470585344.

The previous prime is 106859700791. The next prime is 106859700793. The reversal of 106859700792 is 297007958601.

It is an interprime number because it is at equal distance from previous prime (106859700791) and next prime (106859700793).

It is a super-2 number, since 2×106859700792² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106859700791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88094778 + ... + 88095990.

Almost surely, 2^106859700792 is an apocalyptic number.

106859700792 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 106859700792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161835912000).

106859700792 is an abundant number, since it is smaller than the sum of its proper divisors (216812123208).

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

106859700792 is a wasteful number, since it uses less digits than its factorization.

106859700792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 106859700792 in words is "one hundred six billion, eight hundred fifty-nine million, seven hundred thousand, seven hundred ninety-two".