106890419475840 has 1536 divisors, whose sum is σ = 490138060608000. Its totient is φ = 19423334891520.

The previous prime is 106890419475803. The next prime is 106890419475877. The reversal of 106890419475840 is 48574914098601.

It is an interprime number because it is at equal distance from previous prime (106890419475803) and next prime (106890419475877).

It is a super-2 number, since 2×106890419475840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 255406276 + ... + 255824444.

It is an arithmetic number, because the mean of its divisors is an integer number (319100299875).

Almost surely, 2^{106890419475840} is an apocalyptic number.

106890419475840 is a gapful number since it is divisible by the number (10) 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 106890419475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245069030304000).

106890419475840 is an abundant number, since it is smaller than the sum of its proper divisors (383247641132160).

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

106890419475840 is a wasteful number, since it uses less digits than its factorization.

106890419475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418248 (or 418229 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 106890419475840 in words is "one hundred six trillion, eight hundred ninety billion, four hundred nineteen million, four hundred seventy-five thousand, eight hundred forty".