106061400 has 120 divisors (see below), whose sum is σ = 368423220. Its totient is φ = 28278720.

The previous prime is 106061393. The next prime is 106061407. The reversal of 106061400 is 4160601.

It is an interprime number because it is at equal distance from previous prime (106061393) and next prime (106061407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106061400² = 22498041139920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106061407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12927 + ... + 19473.

Almost surely, 2^106061400 is an apocalyptic number.

106061400 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 106061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184211610).

106061400 is an abundant number, since it is smaller than the sum of its proper divisors (262361820).

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

106061400 is a wasteful number, since it uses less digits than its factorization.

106061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6575 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106061400 is about 10298.6115569042. The cubic root of 106061400 is about 473.3537098063.

The spelling of 106061400 in words is "one hundred six million, sixty-one thousand, four hundred".