106476185088 has 480 divisors, whose sum is σ = 390460342272. Its totient is φ = 27172454400.

The previous prime is 106476185087. The next prime is 106476185089. The reversal of 106476185088 is 880581674601.

It is a happy number.

106476185088 is a `hidden beast` number, since 1 + 0 + 64 + 76 + 1 + 8 + 508 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106476185087) and next prime (106476185089).

It is a super-2 number, since 2×106476185088² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106476185087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12995073 + ... + 13003263.

Almost surely, 2^106476185088 is an apocalyptic number.

106476185088 is a gapful number since it is divisible by the number (18) 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 106476185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195230171136).

106476185088 is an abundant number, since it is smaller than the sum of its proper divisors (283984157184).

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

106476185088 is a wasteful number, since it uses less digits than its factorization.

106476185088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 106476185088 in words is "one hundred six billion, four hundred seventy-six million, one hundred eighty-five thousand, eighty-eight".