106615502070 has 256 divisors, whose sum is σ = 322098094080. Its totient is φ = 21940992000.

The previous prime is 106615502069. The next prime is 106615502089. The reversal of 106615502070 is 70205516601.

It is a super-2 number, since 2×106615502070² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165809169 + ... + 165809811.

It is an arithmetic number, because the mean of its divisors is an integer number (1258195680).

Almost surely, 2^106615502070 is an apocalyptic number.

106615502070 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 106615502070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161049047040).

106615502070 is an abundant number, since it is smaller than the sum of its proper divisors (215482592010).

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

106615502070 is a wasteful number, since it uses less digits than its factorization.

106615502070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251.

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 106615502070 in words is "one hundred six billion, six hundred fifteen million, five hundred two thousand, seventy".