106261414 has 32 divisors (see below), whose sum is σ = 194100480. Its totient is φ = 42615072.

The previous prime is 106261409. The next prime is 106261439. The reversal of 106261414 is 414162601.

It is a super-2 number, since 2×106261414² = 22582976210558792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19672 + ... + 24484.

It is an arithmetic number, because the mean of its divisors is an integer number (6065640).

Almost surely, 2^106261414 is an apocalyptic number.

106261414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106261414 is a deficient number, since it is larger than the sum of its proper divisors (87839066).

106261414 is a wasteful number, since it uses less digits than its factorization.

106261414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106261414 is about 10308.3177095004. The cubic root of 106261414 is about 473.6510781734.

The spelling of 106261414 in words is "one hundred six million, two hundred sixty-one thousand, four hundred fourteen".