106251290070 has 64 divisors (see below), whose sum is σ = 264166410240. Its totient is φ = 27322041600.

The previous prime is 106251290029. The next prime is 106251290129. The reversal of 106251290070 is 70092152601.

It is a super-2 number, since 2×106251290070² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58041 + ... + 464619.

It is an arithmetic number, because the mean of its divisors is an integer number (4127600160).

Almost surely, 2^106251290070 is an apocalyptic number.

106251290070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106251290070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132083205120).

106251290070 is an abundant number, since it is smaller than the sum of its proper divisors (157915120170).

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

106251290070 is a wasteful number, since it uses less digits than its factorization.

106251290070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406901.

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 106251290070 in words is "one hundred six billion, two hundred fifty-one million, two hundred ninety thousand, seventy".