106151020 has 36 divisors (see below), whose sum is σ = 230905584. Its totient is φ = 40989760.

The previous prime is 106151011. The next prime is 106151021. The reversal of 106151020 is 20151601.

It is a happy number.

It is a super-2 number, since 2×106151020² = 22536078094080800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106150985 and 106151003.

It is not an unprimeable number, because it can be changed into a prime (106151021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13665 + ... + 19975.

It is an arithmetic number, because the mean of its divisors is an integer number (6414044).

Almost surely, 2^106151020 is an apocalyptic number.

106151020 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 106151020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115452792).

106151020 is an abundant number, since it is smaller than the sum of its proper divisors (124754564).

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

106151020 is a wasteful number, since it uses less digits than its factorization.

106151020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 106151020 is about 10302.9617101104. The cubic root of 106151020 is about 473.4869974318.

The spelling of 106151020 in words is "one hundred six million, one hundred fifty-one thousand, twenty".