106011387300 has 1152 divisors, whose sum is σ = 419195392000. Its totient is φ = 20483850240.

The previous prime is 106011387283. The next prime is 106011387323. The reversal of 106011387300 is 3783110601.

It is a super-2 number, since 2×106011387300² (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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1092900852 + ... + 1092900948.

Almost surely, 2^106011387300 is an apocalyptic number.

106011387300 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 106011387300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209597696000).

106011387300 is an abundant number, since it is smaller than the sum of its proper divisors (313184004700).

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

106011387300 is a wasteful number, since it uses less digits than its factorization.

106011387300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 106011387300 its reverse (3783110601), we get a palindrome (109794497901).

The spelling of 106011387300 in words is "one hundred six billion, eleven million, three hundred eighty-seven thousand, three hundred".