106582025412 has 36 divisors (see below), whose sum is σ = 278106506496. Its totient is φ = 34381298160.

The previous prime is 106582025411. The next prime is 106582025449. The reversal of 106582025412 is 214520285601.

106582025412 is a `hidden beast` number, since 10 + 6 + 582 + 0 + 2 + 54 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106582025412² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106582025411) 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, 47750688 + ... + 47752919.

It is an arithmetic number, because the mean of its divisors is an integer number (7725180736).

Almost surely, 2^106582025412 is an apocalyptic number.

106582025412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106582025412 is an abundant number, since it is smaller than the sum of its proper divisors (171524481084).

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

106582025412 is a wasteful number, since it uses less digits than its factorization.

106582025412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95503648 (or 95503643 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 106582025412 in words is "one hundred six billion, five hundred eighty-two million, twenty-five thousand, four hundred twelve".