106070151601020 has 96 divisors (see below), whose sum is σ = 301511359812096. Its totient is φ = 27855610041600.

The previous prime is 106070151600983. The next prime is 106070151601027. The reversal of 106070151601020 is 20106151070601.

It is a super-2 number, since 2×106070151601020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106070151601027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11163630 + ... + 18351210.

It is an arithmetic number, because the mean of its divisors is an integer number (3140743331376).

Almost surely, 2^{106070151601020} is an apocalyptic number.

106070151601020 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 106070151601020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150755679906048).

106070151601020 is an abundant number, since it is smaller than the sum of its proper divisors (195441208211076).

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

106070151601020 is a wasteful number, since it uses less digits than its factorization.

106070151601020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191331 (or 7191329 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 106070151601020 in words is "one hundred six trillion, seventy billion, one hundred fifty-one million, six hundred one thousand, twenty".