101106054 has 48 divisors (see below), whose sum is σ = 250967808. Its totient is φ = 28817136.

The previous prime is 101106053. The next prime is 101106067. The reversal of 101106054 is 450601101.

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 (101106053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73279 + ... + 74645.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2^101106054 is an apocalyptic number.

101106054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101106054 is an abundant number, since it is smaller than the sum of its proper divisors (149861754).

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

101106054 is a wasteful number, since it uses less digits than its factorization.

101106054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101106054 is about 10055.1506204532. The cubic root of 101106054 is about 465.8638952416.

Adding to 101106054 its reverse (450601101), we get a palindrome (551707155).

The spelling of 101106054 in words is "one hundred one million, one hundred six thousand, fifty-four".