106127658 has 160 divisors (see below), whose sum is σ = 306383616. Its totient is φ = 26687232.

The previous prime is 106127653. The next prime is 106127699. The reversal of 106127658 is 856721601.

It is a super-2 number, since 2×106127658² = 22526159585129928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106127653) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 338910 + ... + 339222.

Almost surely, 2^106127658 is an apocalyptic number.

106127658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106127658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153191808).

106127658 is an abundant number, since it is smaller than the sum of its proper divisors (200255958).

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

106127658 is a wasteful number, since it uses less digits than its factorization.

106127658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 106127658 is about 10301.8278960581. The cubic root of 106127658 is about 473.4522594556.

The spelling of 106127658 in words is "one hundred six million, one hundred twenty-seven thousand, six hundred fifty-eight".