106105151550 has 96 divisors (see below), whose sum is σ = 265127102208. Its totient is φ = 28081624320.

The previous prime is 106105151533. The next prime is 106105151561. The reversal of 106105151550 is 55151501601.

It is a super-2 number, since 2×106105151550² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20119714 + ... + 20124986.

It is an arithmetic number, because the mean of its divisors is an integer number (2761740648).

Almost surely, 2^106105151550 is an apocalyptic number.

106105151550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106105151550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132563551104).

106105151550 is an abundant number, since it is smaller than the sum of its proper divisors (159021950658).

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

106105151550 is a wasteful number, since it uses less digits than its factorization.

106105151550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 106105151550 in words is "one hundred six billion, one hundred five million, one hundred fifty-one thousand, five hundred fifty".