106136576 has 176 divisors, whose sum is σ = 280619136. Its totient is φ = 38928384.

The previous prime is 106136573. The next prime is 106136629. The reversal of 106136576 is 675631601.

It is a happy number.

It is a super-2 number, since 2×106136576² = 22529945530007552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106136573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1584095 + ... + 1584161.

Almost surely, 2^106136576 is an apocalyptic number.

106136576 is a gapful number since it is divisible by the number (16) 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 106136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140309568).

106136576 is an abundant number, since it is smaller than the sum of its proper divisors (174482560).

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

106136576 is a wasteful number, since it uses less digits than its factorization.

106136576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 106136576 is about 10302.2607227734. The cubic root of 106136576 is about 473.4655206201.

The spelling of 106136576 in words is "one hundred six million, one hundred thirty-six thousand, five hundred seventy-six".