106061610 has 128 divisors (see below), whose sum is σ = 283668480. Its totient is φ = 25277184.

The previous prime is 106061609. The next prime is 106061611. The reversal of 106061610 is 16160601.

It is an interprime number because it is at equal distance from previous prime (106061609) and next prime (106061611).

It is a super-2 number, since 2×106061610² = 22498130231584200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106061611) 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, 991177 + ... + 991283.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 2^106061610 is an apocalyptic number.

106061610 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 106061610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240).

106061610 is an abundant number, since it is smaller than the sum of its proper divisors (177606870).

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

106061610 is a wasteful number, since it uses less digits than its factorization.

106061610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 106061610 is about 10298.6217524482. The cubic root of 106061610 is about 473.3540222172.

The spelling of 106061610 in words is "one hundred six million, sixty-one thousand, six hundred ten".