106287248961880 has 128 divisors (see below), whose sum is σ = 274473994959360. Its totient is φ = 36286424064000.

The previous prime is 106287248961869. The next prime is 106287248961889. The reversal of 106287248961880 is 88169842782601.

It is a super-2 number, since 2×106287248961880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106287248961889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74456440 + ... + 75870520.

It is an arithmetic number, because the mean of its divisors is an integer number (2144328085620).

Almost surely, 2^{106287248961880} is an apocalyptic number.

106287248961880 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 106287248961880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137236997479680).

106287248961880 is an abundant number, since it is smaller than the sum of its proper divisors (168186745997480).

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

106287248961880 is a wasteful number, since it uses less digits than its factorization.

106287248961880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415241 (or 1415237 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 70.

The spelling of 106287248961880 in words is "one hundred six trillion, two hundred eighty-seven billion, two hundred forty-eight million, nine hundred sixty-one thousand, eight hundred eighty".